The graph of 12 = 2x+4y is shown on the grid.
Which ordered pair is in the solution set of 12 2 2x+4y?

Answers

Answer 1

For the linear equation 12 = 2x+4y, the value of ordered pairs are (0,3) and (6,0).

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The given linear equation is 12 = 2x + 4y

Substitute the value of x as 0 to find the value of y -

12 = 2x + 4y

12 = 2(0) + 4y

12 = 4y

y = 12/4

y = 3

Therefore, the value for y is obtained as 3.

Substitute the value of y as 0 to find the value of x -

12 = 2x + 4y

12 = 2x + 4(0)

12 = 2x

x = 12/2

x = 6

Therefore, the value for x is obtained as 6.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it can be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers.

Therefore, two ordered pairs are obtained as (0,3) and (6,0).

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The Graph Of 12 = 2x+4y Is Shown On The Grid.Which Ordered Pair Is In The Solution Set Of 12 2 2x+4y?

Related Questions

#1: One of the steps Jamie used to solve an equation is
shown below.
`-5(3x+7)=10
`-15x+-35=10`
Which statements describe the procedure Jamie used in this
step and identify the property that justifies the procedure?
Jamie added -5 and 3x to eliminate the parentheses. This
procedure is justified by the distributive property.
Jamie multiplied 3x and 7 by -5 to eliminate the parentheses.
This procedure is justified by the distributive property.
Jamie added -5 and 3x to eliminate the parentheses. This
procedure is justified by the associative property.
Jamie multiplied 3x and 7 by -5 to eliminate the parentheses.
This procedure is justified by the associative property.

Answers

Jamie multiplied 3x and 7 by -5 to eliminate the parentheses.

This procedure is justified by the distributive property.

What is Distributive property ?

This property states that multiplying the total of two or more addends by a number will provide the same outcome as multiplying each addend by the number separately and then adding the results together.

When we need to multiply a number by the sum of two numbers, the distributive property of multiplication over addition comes into play. Let's multiply 7 by the sum of 20 plus 3 as an illustration. This can be expressed mathematically as 7(20 + 3).

The distributive rule of multiplication over addition and subtraction is another name for the distributive property. By its very name, the procedure implies that something will be divided or distributed. Both addition and subtraction are under the scope of the distributive law.

Jamie multiplied 3x and 7 by -5 to eliminate the parentheses.

This procedure is justified by the distributive property.

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7x-y=-10 and 3y-x=10 substitution

Answers

The value of x = -1 and y = 3.

To solve the system of equations using substitution, we can start by isolating one of the variables in one of the equations. For example, in the first equation, 7x - y = -10, you can add y to both sides to get y = 7x + 10.

Then we can substitute this expression for y into the second equation, 3y - x = 10, to get:

3(7x + 10) - x = 10

This simplifies to:

21x + 30 - x = 10

20x = -20

x = -1

Now we know that x = -1, we can substitute that back into the first equation or the expression we found for y to find the value of y

y = 7x + 10

y = 7(-1) + 10

y = -7 + 10

y = 3

So the solution of the system is x = -1 and y = 3

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The full question is:

Solve the given equations by substitution and find the value of x and y. Equationns: 7x-y=-10 and 3y-x=10

What is the value of x?

Enter your answer in the box.

x =
in.

Answers

Answer:

24

Step-by-step explanation:

you multiply 5 by 3 to get 15 so you multiply 8 by 3 also

4(x+1)=28 ¿Cual es el valor de x?

Answers

Answer: x = 6

Step-by-step explanation:

Divide 28 by 4,  gives you 7. So the parenthesis has to equal 7, i.e 6+1 equals 7.

For what value of k are the roots of the quadratic equation 3x² 2kx 27?.

Answers

For values of k between 9 and 9, the quadratic equation's roots are real and equal.

How may a quadratic problem be solved in four different ways?

The quadratic formula, using square roots, factoring, and completing the square are the four ways to solve a quadratic problem.

If an equation is quadratic, how do you know?

In other words, if a times the square of the expression that comes after b plus b times the same expression that wasn't squared plus c equals 0, you get an equation that has the form of a quadratic.

The supplied formula is 3x 2 + 2kx + 27=0.

Here a=3, b=2k, and c=27.

Roots being real and equal is a given.

∴ b \s2 \s −4ac=0

⇒ (2k) \s2 \s −4(3)(27)=0

⇒ 4k \s2 \s −324=0

⇒ 4k \s2 \s =324

⇒ k \s2 \s =81

∴ k=±9

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Full Question = For what value of k are the roots of the quadratic equation 3x2 +2kx+27=0 real and equal?

Is 0 a digit number?.

Answers

Answer:

0  is both a number and a numerical digit used to represent that number in numerals.

Step-by-step explanation:

For example positive and negative

. Suppose your truck gets 19.7 miles/gallon (also can be written as 19.7 miles gal"¹) and the fuel
tank holds 68.4 liters of gasoline. Could you drive from Yuma to Las Vegas, a distance of 322
miles, without stopping for gas? 1-liter = 0.26-gallons

Answer:

Answers

No, You would need 68.4 liters of gasoline to fill the tank, which is equivalent to 17.8 gallons. With 19.7 miles/gallon, you would only be able to drive a maximum of 350.7 miles before running out of gas.

What is  Gallon Conversion Theory?

The Gallon Conversion Theory is a mathematical formula that can be used to convert between different units of liquid measure.

The formula is based on the fact that each gallon of liquid measure is equal to four quarts, eight pints, sixteen cups, or 32 gills. It is useful for converting between different units of liquid measure when measuring large volumes.

The theory used in this question is the conversion of liters to gallons. By converting from liters to gallons, we were able to determine how far the truck could drive before running out of gas.

To do this, we first determined that the fuel tank holds 68.4 liters of gasoline.

We then converted liters to gallons by multiplying the number of liters by 0.26. This gave us 17.8 gallons. We then multiplied 17.8 gallons by 19.7 miles/gallon to get the maximum distance that could be driven before running out of gas, which was 350.7 miles.

Since the distance from Yuma to Las Vegas is 322 miles, this means that the truck would run out of gas before reaching its destination.

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What i the volume, in cubic cm, of a rectangular prim with a height of 10cm, a width of 4cm, and a length of 6cm?

Answers

Answer: 240cm^3

Step-by-step explanation:

To find the answer to this question, you use the solution that is given; height x length x width. If you put in the numbers you have into that solution, you will get an answer of 240. I really hope this helps- because I'm not that good at explanation! :)

The area of the triangle is 28 square yards.
10 yd.
7 yd.
What is the triangle's height, h?
h =
yards

Answers

The formula for the area of a triangle is A = 1/2 * b * h, where b is the length of the base and h is the height of the triangle. To solve for h, rearrange the formula to 2*A/bh = 2*28/10h = 5.6 yards.

What is a height?

Height is a measure of vertical distance, often measured from the ground up. Its most typical application is to express the size of a person, object, or other item. Height is often measured in inches, feet, and millimetres. It is also used to determine the elevation of a piece of land or a building.

To calculate the height of a triangle, use the area of a triangle formula, A = 1/2 * b * h, where b is the length of the base and h is the height of the triangle. Because we know the triangle's area is 28 square yards and its base length is 10 yards, we can rearrange the formula to find h:

h = 2*A/b

h = 2*28/10

h = 5.6 yards

As a result, the triangle's height is 5.6 yards.

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A hat contains slips of paper with the names of the 26 other students in Eduardo’s class on them, 10 of whom are boys. To determine his partners for the group project, Eduardo has to pull two names out of the hat without replacing them.

What is the probability that both of Eduardo’s partners for the group project will not be boys?

Answers

The probability that both of Eduardo’s partners for the group project will be girls is   24/65

what  probability of both  Eduardo’s partners ?A hat contains slips of paper with the names of the 26 other students in Eduardo’s class on them, 10 of whom are boys. To determine his partners for the group project, Eduardo has to pull two names out of the hat without replacing them.Total number of students = 26Number of boys = 10Number of girls = 26-10=16Eduardo has to pull two names out of the hat without replacing them.probability=favourable  outcome /total no of outcomeFor the first hat,Favorable outcome of getting girl = 16Total number of outcome = 26probability=16/26=8/13For the second hat, without replacementFavorable outcome of getting another girl = 15Total number of outcome = 25probability=15/25=3/5The probability that both of Eduardo’s partners for the group project will be girls is 8/13*3/5=24/65

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Write an explicit formula for a subscript n, the nth term of the sequence 100, -2, 4,...

Answers

The nth term of the sequence 100 is 592

What is  a geometric sequence and how to find its nth terms?

Suppose the initial term of a geometric sequence is a

and the term by which we multiply the previous term to get the next term is r

Then the sequence would look like

[tex]a, ar, ar^2, ar^3, \cdots[/tex]

 (till the terms to which it is defined)

Thus, the nth term of such sequence would be  [tex]T_n = ar^{n-1}[/tex] (you can easily predict this formula, as for nth term, the multiple r would've multiplied with initial terms n-1 times).

Given;

Sequence=-2,4...

D=4-(-2)

=6

Now, we have to find 100th term

So, n=100

an = a + (n – 1)d

=-2+(100-1)6

=-2+99x6

=592

Therefore, the answer of given sequence will be 592

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The diagram shows sector OACB of a circle with centre O and radius 12 cm. Reflex angle AOB = 210° The diagram also shows a hollow cone with vertex O. The curved surface of the cone is formed by joining OA to OB. Arc ACB forms the circumference of the base of the cone. 12 cm 210° с 12 cm B A B 12cm C Calculate the volume of the cone. Give your answer correct to 3 significant figures. Curved surface area of cons - xri 1/3 Volume of cone - xx¹h h​

Answers

The height of the cone is sin 210° × 12 cm = 10.39 cm.

What is height?

Height is the measure of vertical distance, either how "tall" something or someone is, or how "high" the point is. It is typically measured in either centimeters or feet and inches, and is most commonly used to describe the stature of a person. Height is an important physical characteristic, as it affects a person's overall body proportions and can influence their physical appearance.

The curved surface area of the cone can be calculated using the formula: 2πrh. Where π is the constant pi, r is the radius of the circle, and h is the height of the cone. The height of the cone can be determined by using the trigonometric function sine, where 210° is one of the angles of the triangle. Therefore, the height of the cone is sin 210° × 12 cm = 10.39 cm.

Using the formula 2πrh, the curved surface area of the cone is 2 × π × 12 cm × 10.39 cm = 75.52 cm². As the volume of a cone is one-third the product of its curved surface area and its height, the volume of the cone is 25.17 cm³ (rounded to three significant figures).

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Write $a^4 - 3a^2 + 9$ as a product of two monic quadratics with integer coefficients.

Answers

$a^4 - 3a^2 + 9$ can be factorised as $(a^2 - 3)(a^2 + 3)$

To factor $a^4 - 3a^2 + 9$ as a product of two monic quadratics with integer coefficients, we can use the difference of squares factorization.

When an expression has the general form a²+2ab+b², then we can factor it as (a+b)². For example, x²+10x+25 can be factored as (x+5)². This method is based on the pattern (a+b)²=a²+2ab+b², which can be verified by expanding the parentheses in (a+b)(a+b).

$a^4 - 3a^2 + 9$ can be factored as $(a^2 - 3)(a^2 + 3)$

Notice that both factors are monic quadratics with integer coefficients.

So, $a^4 - 3a^2 + 9$ = $(a^2 - 3)(a^2 + 3)$

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Select the correct answer from each drop-down menu.


In the figure, angle D measures 31 degrees and angle A measures 27 degrees.

Answers

The measurement of angles C and F are 63°  and 59° respectively

How to find the measurement of angle B and D?

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles.

In the given image, you notice that angles A, B and C form a right-angled triangle. So the measurement of angle C is 90°. Also, the sum of angles in a triangle is 180°. Thus:

A + B + C = 180°

27° + 90° + C = 180°

117° + C = 180°

C =  180° - 117°

C = 63°

Likewise, angles D, E and F form a right-angled triangle. So the measurement of angle E is 90°. Also, the sum of angles in a triangle is 180°. Thus:

D + E + F = 180°

31° + 90° + F = 180°

121° + F = 180°

F =  180° - 121°

F = 59°

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Archimedes drained the water in his tub. The amount of water left in the tub (in liters) as a function of time (in minutes) is graphed. How long did it take each time 18 liters of water were drained?

Answers

The equation of line is y = -72x + 360

The time for the tank to drain 18 liters of water is t = 4.75 minutes

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Let the first point be P = P ( 0 , 360 )

Let the second point be Q = Q ( 5 , 0 )

Now , the slope of the line between the points is

Slope m = ( 360 - 0 ) / ( 0 - 5 )

On simplifying the equation , we get

Slope m = ( - 360/5

Slope m = -72 liters per minute

And , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 0 = ( -72 ) ( x - 5 )

On simplifying the equation , we get

y = -72x + 360

Now , the tub loses 72 liters every minute

So , 1 minute is = - 72 liters

So , for every 18 liters , substitute the value of y = 18 ,  we get

18 = -72x + 360

Adding 72x on both sides of the equation , we get

72x + 18 = 360

Subtracting 18 on both sides of the equation , we get

72x = 342

Divide by 72 on both sides of the equation , we get

x = 4.75 minutes

Hence , it will take 4.75 minutes for 18 liters of water to be drained

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44 Ibs of apples cost $550. How many Ibs of apples can get with $450?

Answers

Answer:

36 lbs

Step-by-step explanation:

44lbs -> $550

X -> $450

Cross-multiplication:

X × 550 = 44 × 450

X = (44×450)/550

X =36 lbs

So the answer is 36 lbs of apples

Another way to solve it :

550/44 = 12.5 which means $12.5 for every 1lbs of apples

Now if we have $450

Divide it by 12.5

450/12.5 = 36 lbs

Graph the line with y intercept of -1 and slope of 1/4

Answers

The equation of line is y= 1/4x -1

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Step1:

Given:

slope = 1/4 and y intercept = -1

Using slope- intercept form

Step2:

y= mx + b

y= 1/4x + (-1)

y= 1/4x -1

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Can you help me find x?

Answers

Answer:

x = 34 degrees

Step-by-step explanation:

angles TWU and PSR are vertical and equal

if TSU = 4x and QSR = x then PSQ = 3x

triangle PSQ has 180 degrees

we know the three interior angles of the triangle are:

x, x, 112

we found the 112 by subtracting 68 from 180 since PQR is a straight line which has 180 degrees

to find 'x' we do the following:

x + x + 112 = 180

2x + 112 = 180

2x = 68

x = 34

someone please help & i have another problem

Answers

Step-by-step explanation:

By Arithmetic Progression,

The first term a1=70.1

Common difference, d= 72.2-70.1=74.3-72.2= 2.1

Nth term, T_n=a1+(n-1)d where n=time taken in minutes

T_n=70.1+[2.1*(n-1)]

(b) n=12

T=93.2°F

How to write an equation?.

Answers

Answer:

Read the entire problem several times.

Look for keywords like more, less, is, etc.

Replace the keywords with their mathematical operations and shorten the words to variables. Solve the resulting equation. Answer the problem clearly in a complete sentence.

Step-by-step explanation:

hope this helps

if you are dividing 1.7 by 8.5 how many places to the right will you need to move the decimal point in the divisor and dividend

Answers

Answer:

To divide 1.7 by 8.5, you will need to move the decimal point one place to the right in the divisor and the dividend. This would result in 17 and 85 as the new divisor and dividend respectively, and the division would be performed as 17/85.

What is the rule for negative square roots?.

Answers

Negative numbers don't actually have square roots because a square can only be either positive or zero. No, we cannot find the square root of the negative value.

When two numbers of the same sign are added, the result is always positive.

How is a negative square root treated?

Theorem: Negative Numbers' Square Roots Using the number as if it were a positive integer and adding an I in front of it as a coefficient is one way to simplify an expression that involves the square root of a negative number. Or, to put it another way, for any x, where x is a positive integer or if x is a negative number, x=ix x = I x.

Could the square foundation of 4 be negative 2?

The worth of root 4 is equivalent to precisely 2. In any case, the roots could be positive or negative or we can say there are dependably two roots for some random number. Subsequently, root 4 is equivalent to ±2 or +2 and - 2 (positive 2 and negative 2).

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Cora ha 3 1/2 cup of flour he need 3/4 of a cup of flour to make a batch of cookie how many batche of cookie can he make

Answers

Answer:

14 batches of cookie

Step-by-step explanation:

Cora has 7/2 cup of flour

3/4 of flour= 1 batch of cookie

7/2= ?

7/2×1×4/3=14/3

14 batches

Find the area of thi parallelogram, Be ure to include the correct unit in your anwer,
6ft
13ft

Answers

The area of the parallelogram is 78ft².

The area of a parallelogram can be calculated with the following formula:

A= b*h

Where "b" is the length of any base of the parallelogram and "h" is the height.

In this case, you can identify the values of b and h from the question given, which:

b = 6ft

h= 13ft

Then, knowing those values, you can substitute them into the formula shown above, as below:

A= b*h= 6*13

Finally, you must evaluate in order to find the area of the given parallelogram.

A= 78ft²

Thus, the area of the parallelogram is 78ft².

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Is the function y 5x 10 linear or nonlinear?.

Answers

The y=5x-10 function is nonlinear.

A linear function is a function which forms a straight line in a graph. It is generally a polynomial function whose degree is utmost 1 or 0.  Although the linear functions are also represented in terms of calculus as well as linear algebra. The only difference is the function notation. Knowing an ordered pair written in function notation is necessary too. f(a) is called a function, where a is an independent variable in which the function is dependent. Linear Function Graph has a straight line whose expression or formula is given by; y = f(x) = px + q
Since you are using y, instead of f(x), I think it's more appropriate to call it a relationship. The equation y=5x-10 describes a set of points that fall on a line, but for it to be a linear function, it should be denoted as f(x)=5x-10.

The distinction isn't so interesting in this case, but how about the case x = y^2? This is a totally valid relationship, but it cannot be a function of x, since a function requires just one output for a given input.

No. If it was a linear function we should have y(λx)=λy(x), ∀x. But that's not what happens. Actually, this function is called an affine function. So, we can see that affine functions are obtained from the linear functions simply by performing a rigid movement.

The linear functions are those that have the form: y=ax.

Therefore, The y=5x-10 function is nonlinear.

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What are the types of logarithms?.

Answers

There are two types of logarithms i.e. natural log and common log.

Natural logarithm - A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.In order to avoid ambiguity, this is notably done when the argument to the logarithm is not a single symbol.

Common logarithm - The base-10 logarithm is the most widely used logarithm in mathematics. It is also known as the standard logarithm, the decadic logarithm (named after its basis), the decimal logarithm (named after its base), or the Briggsian logarithm (named after Henry Briggs, an English mathematician who invented its application).

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Ince 1500 g can be divided evenly into omething batche of bread 70 divide evenly into 1500 o the baker hould chooe the 1500 g package anwer

Answers

If 1500 g can be divided evenly into batches of bread that are 70 g each, then the baker should choose the 1500 g package.

To check this, we can divide 1500 g by 70 g to see how many batches of bread can be made:

1500 g / 70 g = 21.428571428571427

Since this is a non-whole number, it means that some of the dough would be wasted if the baker chooses a package of 1500 g. The baker should choose the 1500 g package, as it can be divided evenly into batches of bread that are 70 g each.

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Find the measure of segment AT. Round to the nearest tenth (one decimal place.)
Find the measure of AT.

Answers

Answer:

57.4

Step-by-step explanation:

Go to point A and draw a line straight down, perpendicular to HT.  Let's label the point where your drawn line hits AT as B.  Now you have the line segments HB, BT.  

HB + BT = 100

Solve for the height of the triangle, BA.

BA = sin35(80) = 45.9

HB = cos35(80) = 65.5

BT = 100 - 65.5 = 34.5

Now you can solve for AT, which is the hypotenuse of ΔBAT:

(AT)² = 45.9² + 34.5² = 3295

AT = √3295 = 57.4

How many integer solutions are there to x1 +x2 +x3 0 with Xi ≥ − 5?.

Answers

The number of integral solutions of the given equation x₁ + x₂ + x₃ = 0 with [tex]x_{i}[/tex] ≥ (-5) is 136.

Suppose we wish to determine the number of integer -tuples (₁,…,[tex]x_{k}[/tex])

such that

₁ +⋯+ [tex]x_{k}[/tex] = , [tex]x_{i}[/tex] ≥ [tex]c_{i}[/tex] …(1)

The transformation [tex]y_{i}[/tex] = [tex]x_{i}[/tex] − [tex]c_{i}[/tex], 1 ≤ ≤ reduces (1) to

₁ +⋯+ [tex]y_{k}[/tex] = − (₁ +⋯+ [tex]c_{k}[/tex]), [tex]y_{i}[/tex] ≥ 0…(2)

The number of solutions to (2)

is given by the binomial coefficient [tex]\binom {(n-c_{1}- ... -c_{k})+k-1 }{k-1}[/tex].

For the given problem, = 3, = 0, and each [tex]c_{i}[/tex] = −5. Therefore, the number of solutions is

[tex]\binom {17}{2}=^{17}C_2=\frac{17!}{2!(17-2)!}[/tex]

= 136.

Thus, 136 integral solutions are there to x₁ + x₂ + x₃ = 0 with [tex]x_{i}[/tex] ≥ (-5).

--The given question is incorrect; the correct question is

"How many integral solutions does x₁ + x₂ + x₃ = 0 have if  [tex]x_{i}[/tex] ≥ (-5)?"--

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Find the yy-intercept of each line defined below and compare their values.

Answers

The y intercept of the line A is 6 and the y intercept of the line B is -2 and the equation of line B is y = x - 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = -3x + 6   be equation (1)

Now , the equation of line is is expressed as y = mx + b where m is the slope and b is the y-intercept

So , the y intercept of the line A is b = 6

For the equation of line B , we get

Let the first point be P ( -1 , -3 )

Let the second point be Q ( 0 , -2 )

And , the slope of the line is

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -2 - ( -3 ) ) / 0 - ( -1 )

On simplifying the equation , we get

Slope m = 1/1 = 1

And , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - ( -3 ) = 1 ( x - ( -1 ) )

On simplifying the equation , we get

y + 3 = x + 1

Subtracting 3 on both sides of the equation , we get

y = x - 2

Hence , the equation of line B is y = x - 2 and the y intercept is -2

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