Find the slope of the line that passes through the given
points.
1. (-10, -12), (-8,-8), (-6. - 4); (-4, 0)
2. (-4, 2), (0, 1), (4,0), (8, -1)
3. (-7, -7), (0, -8), (7, -9). (14, -10)
4. (-2, 2), (0, 3), (2, 4), (4, 5)
5. (2, -11), (4, -25), (6, -39), (8, –53)
6. (-11, -38), (-5, -14), (1,10), (7, 34)
Find the slope and the y-intercept of the graph of the
linear equation,
7. y = -4x + 6
8. y = -1
9. 4r + y = -1
10. y = 6x – 4
11. -x - 4y + 8 = 0
12. 2.r - 12y + 10 = 0

Answers

Answer 1

Answer:

Step-by-step explanation:

4x − 3= −12x + 13​

4x + 12x = 13 + 3

16x = 16

x = 1

Answer 2

1)

The slope of the line passing through these points is 2.

2)

The slope of the line passing through these points is -1/4.

3)

The slope of the line passing through these points is -1/7.

4)

The slope of the line passing through these points is 1/2.

5)

The slope of the line passing through these points is -7.

6)

The slope of the line passing through these points is 6.

7)

The slope of y = -4x + 6 is -4 and the y-intercept is 6.

8)

The slope is 0 and the y-intercept is -1.

9)

The slope is -4 and the y-intercept is -1.

10)

The slope of y = 6x - 4 is 6 and the y-intercept is -4.

11)

The slope is -1/4 and the y-intercept is 2.

12)

The slope is 1/6 and the y-intercept is 5/6.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Slope = (d - b) / (c - a)

Where (a, b) and (c, d) are the two points.

Now,

The slope between (-10, -12) and (-8, -8) is 2.

The slope between (-8, -8) and (-6, -4) is 2.

The slope between (-6, -4) and (-4, 0) is 2.

Therefore,

The slope of the line passing through these points is 2.

The slope between (-4, 2) and (0, 1) is -1/4.

The slope between (0, 1) and (4, 0) is -1/4.

The slope between (4, 0) and (8, -1) is -1/4.

Therefore,

The slope of the line passing through these points is -1/4.

The slope between (-7, -7) and (0, -8) is -1/7.

The slope between (0, -8) and (7, -9) is -1/7.

The slope between (7, -9) and (14, -10) is -1/7.

Therefore,

The slope of the line passing through these points is -1/7.

The slope between (-2, 2) and (0, 3) is 1/2.

The slope between (0, 3) and (2, 4) is 1/2.

The slope between (2, 4) and (4, 5) is 1/2.

Therefore,

The slope of the line passing through these points is 1/2.

The slope between (2, -11) and (4, -25) is -7.

The slope between (4, -25) and (6, -39) is -7.

The slope between (6, -39) and (8, -53) is -7.

Therefore,

The slope of the line passing through these points is -7.

The slope between (-11, -38) and (-5, -14) is 6.

The slope between (-5, -14) and (1, 10) is 8.

The slope between (1, 10) and (7, 34) is 6.

Therefore,

The slope of the line passing through these points is 6.

Now,

The equation in slope intercept form is y = mx + c

where m is the slope of the line and c is the y-intercept.

So,

The slope of y = -4x + 6 is -4 and the y-intercept is 6.

The equation y = -1 represents a horizontal line, so the slope is 0 and the y-intercept is -1.

To find the slope-intercept form, we can rewrite 4r + y = -1 as y = -4r - 1.

Therefore,

The slope is -4 and the y-intercept is -1.

The slope of y = 6x - 4 is 6 and the y-intercept is -4.

To find the slope-intercept form, we can rewrite -x - 4y + 8 = 0 as -4y = x - 8, then divide both sides by -4 to get y = (-1/4)x + 2.

Therefore,

The slope is -1/4 and the y-intercept is 2.

To find the slope-intercept form, we can rewrite 2r - 12y + 10 = 0 as 12y = 2r + 10, then divide both sides by 12 to get y = (1/6)r + 5/6.

Therefore,

The slope is 1/6 and the y-intercept is 5/6.

Thus,

The slope and the y-intercept are given above.

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Related Questions

Find (6) x (-3)

What is the answer to this?

Answers

Answer:

Multiply 6 by −3.

−18

Step-by-step explanation:

Hope it is helpful.....

Answer:

-18

Step-by-step explanation:

make sure you know your tables of 6 it might help you.

The first number plus the second number equals 83, the first number
minus the second number equals 33. What are the two numbers?

Answers

Answer:

I hope this helps

Step-by-step explanation:

So the way to handle a problem like this is to rewrite the three numbers in terms of their relationship to one of the three numbers.  Let's call the numbers x, y, and z, where x is the first number, y is the second, and z is the third.

We know x + y + z = 83.

Since the third number is twice the second, we say that z = 2y.

Since the second number is seven less than the first, we say that y = x - 7.  We can rewrite this as x = y + 7.

Now all three can be written in terms of y.

x + y + z = 83

(y + 7) + y + 2y = 83

4y + 7 = 83

4y = 76

y = 19

The second number is 19.  The first is 19 + 7 or 26, and the third is 2 times 19 or 38.

A check reveals that 26 + 19 + 38 = 83.

In 1983, a cast-iron pan cost $28.35. Today, a cast-iron pan costs $52.95. If the CPI is 166, what is the percent relation
of the actual price of a cast-iron pan to the expected price?
a The actual price is 11.1% lower than the expected price.
b The actual price is 20.8% lower than the expected price.
The actual price is 31.5% higher than the expected price.
d. The actual price is 12.5% higher than the expected price.
с.

Answers

Answer:

d.

The actual price is 12.5% higher than the expected price

Step-by-step explanation:

The percent relation of the actual price and the expected price is 12.5%

What is the consumer price index?

The consumer price index measures the changes in price of a basket of good. It is used to measure inflation.

Price of the cast iron today = $28.35 x (166/100) = $47.06

The percent relation of the actual price and the expected price = ($52.95/$47.06) - 1 = 12.5%

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If Mr.Novak gives 9 packs of paper to a group of 5 students. If the group shares the paper equally. How many packs of paper does each student get? Write the answer as a mixed number.

Answers

Each student gets 1 whole pack of paper and 4/5 of a pack.

What is a division in mathematics?

Division is a mathematical operation that is used to determine the number of times one number, called the dividend, is contained within another number, called the divisor. The result of a division operation is called the quotient.

When a group of students share a certain number of items equally, it means that each student will receive the same number of items. To find out how many items each student will receive, we need to divide the total number of items by the number of students.

In this case, Mr. Novak gives 9 packs of paper to a group of 5 students. To find out how many packs of paper each student gets, we need to divide 9 by 5. We can use long division or use a calculator to find that 9 divided by 5 is 1 with a remainder of 4. So, each student will get 1 whole pack of paper, and the remaining 4 packs will be shared among the students. This can be written as a mixed number, which is a combination of a whole number and a fraction. In this case, the mixed number would be 1 4/5.

Hence, each student gets 1 whole pack of paper and 4/5 of a pack.

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Simplify (6x3 – 16x2 + 11x – 5) ÷ (x - 2)

Answers

Answer

iStep-by-step explanation:

hi.......

A remote control car costs $60. It is reduced to $45 in a sale. What is the percent change?

Answers

Answer:

25%

Step-by-step explanation:

i dont have a Step by step explanation

What type of solution is this?
7=7

Answers

Answer:

I'm 99% sure it's infinite solutions

hello please anyone answer that 9/20=.......%​

Answers

THATS A DIFFICULT QUESTION SIR

Question/Equation:

9/20=__%

Answer/Steps to answer:

1. For the denominator, recognize that 20×5=100.

Multiple = 55

2. Multiply both the numerator and denominator by the multiple 5.

9×5/20×5

3. Simplify.

45/100

4. Simplify.

45% (0.45 Is Decimal Form)

Done by NeighborhoodDealer

Consider the standard form of an exponential function:
y = a (b)^x
1. How does changing the base number (inside the parentheses) change your graph? (10 points)

2. How does changing the number outside the parentheses change your graph? (10 points)

3. Create three new exponential equations to represent Alison, Cindy, and Javier. (30 points)
Alison loves social media and likes for her posts to be shared as much as possible while Cindy and Javier prefer for their posts to stay amongst their friends primarily.

I have number one please help with 2 and 3.

Answers

Answer:

2. If we plug in X = 0 into our problem ( Y = A(B)^X ) I would get Y = A which drastically changes the initial value, the Y-intercept, and the point on the graph. The point changes to (0,a) which becomes the new Y-intercept.

3. Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.

While Alison would be 1/(1+e^-x) representing an s curve showing a lot of growth and later evening out.

Step-by-step explanation:

The answer to part [2] and [3] are given above.

What is a mathematical function? What is an exponential function? Differentiate between equation and expression?  exponential function : An exponential equation is given by -

        y = A(B)ˣ

function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is the standard form of an exponential function -

y = a (b)^x

[2] - Changing the number outside the parenthesis will determine the amplitude scaling of the graph of (A)ˣ. For -

a > 1   (Magnitude will increase)

a < 1   (Magnitude will decrease)

a = 0  (Magnitude will become zero)

[3] - For Alison, we can write the expression as -

y{A} = 5000(1000)ˣ

For Cindy and Javier, we can write -

y{C} = (2)ˣ

y{J} = (3)ˣ

where -

[x] represents the number of posts.

Therefore, the answer to part [2] and [3] are given above.

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What is the perimeter of this figure
40 in.
10 in.
50 in.
18 in.

Answers

Answer:

236

Step-by-step explanation:

100+100+36=236

Answer:

C. 180

Step-by-step explanation:

Jada bikes 2 miles in 12 minutes. Han swims 1 mile in 24 minutes.



Jada is moving (faster or slower?)

How many miles can Han Swim per hour?

How many miles can Jada Swim per hour?

Answers

Answer:

Jada is moving faster

Jade goes 10 miles in one hour

Han goes 2.5 miles in one hour

Step-by-step explanation:

Jada is 2miles/12 minutes=2(5) miles in 12(5) minutes

Jade goes 10 miles in 60 minutes (or one hour)

Han is 1 mile/24 minutes=1(2.5) miles in 24(2.5) minutes

Han goes 2.5 miles in 60 minutes (or one hour)

Jada is moving faster

What is the slope of the line that passes through the points (-5,-6 ) and (5,1)?

Answers

Answer: Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

m(slope)=7/10 or (7,10)

A video rental store charges a $20 membership fee and $2.50 for each video rented.

Write a linear equation to model this situation.

Tell what each variable represents.

Answers

Y=2.5x +20 because x would be the number of times you go, and 20 dollars is the original price

Answer:

2.5x + 20 = y

Step-by-step explanation:

first, assign a variable to each unknown:

since we don't know how many videos were rented, that can be x, and we don't know the person's total cost, which can be y

x = number of videos rented

y = total cost

so there's always a $20 that's added on as a membership fee, which means that theres going to be a + 20 somewhere.

So, the equation is 2.5x + 20 = y

It's NOT D

Write a rule for the linear function in the table.


A. f(x) = 4x

B. f(x) = x + 4

C. f(x) = x – 4

D. f(x) = 4 – x

Answers

Answer:

You may want to email your teacher. I am pretty sure it is d, or f(x)=4-x.

Step-by-step explanation:

4-1=3

4-2=2

4-3=1

4-4=0

y=4x+3
in slope intercept form

Answers

The answer is y=4x+3, it's already in slope intercept form.

(2x + 3) + (2x + 3) + (2x + 3) + (2x + 3)

Answers

Answer:

8x+12

Step-by-step explanation:

Answer:

[tex]4(2x + 3)[/tex]

Step-by-step explanation:

1. Factor out common terms in the first two terms, then in the last two terms.

[tex]2x + 3 + 2x + 3 + 2x + 3 + 2x + 3[/tex]

2. Collect like terms.

[tex](2x + 2x + 2x + 2x)(3 + 3 + 3 + 3 )[/tex]

3. Simplify.

[tex]8x + 12[/tex]

4. Factor out the common term.

[tex]4(2x + 3[/tex]

Therefor, the answer is 4(2x + 3)

What is the correct answer?

Answers

Answer:

I do not know

Step-by-step explanation:

I dont know

Solve if x is equal to 4
y=2x
y=?

Answers

Answer:

8

Step-by-step explanation:

because 2 time x=4 then multiply them and you get 8

AB is the angle bisector of CAD. Solve for the missing variable?

Answers

Answer:

[tex]x=8^\circ[/tex]

Step-by-step explanation:

A bisector is the line that divides an angle (which in this case is [tex]\angle CAD[/tex]) exactly in half. Therefore, [tex]\angle CAB = \angle BAD[/tex] and as such we can solve for [tex]x[/tex]:

[tex]\angle CAB &= \angle BAD\\33^\circ &= 4x + 1^\circ\\4x = 32^\circ\\x = 8^\circ[/tex]

and we are done.

Just need help with number 2 I will GUVE brainliest

Answers

The answer is a and d

-5=n-8/4

What is happening to the variable?


How do you solve for the variable?

Answers

Answer:

n=-3

Step-by-step explanation:

Alrighty, now if I understood the problem correctly, we can simplify it to:

-5=n-2

We do +2 on both sides, and -5+2 is -3

So, n=-3

Answer:

n= -3

you move the variable to the other side it has to be by it self on the other side of the equal sigh

Step-by-step explanation:

-5 =n-2

-5+2=n

-3=n

n=-3

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 15, 30,60,... Find the 6th term.

Answers

Answer: 120, 240, 480

Step-by-step explanation:

It would appear that the numbers are increasing in multiples of 2.

15 * 2 = 30

30 * 2 = 60

The next 3 terms will therefore be:

60 * 2 = 120

120 * 2 = 240

240 * 2 = 480

Answer:

480

Step-by-step explanation:

I NEED HELP ASAP WILL MARK BRAINLIEST


Our family has a budget of $4,000 to spend on our next vacation. We plan to spend 7/9 of this amount on gasoline and hotel rooms. We plan to spend 1/2 of the remaining amount on eating out and buying snacks. (food). How much do we plan to spend on food during our vacation?
Group of answer choices

$444.45

$888.89

$1230.00

$3111.11

Answers

Answer:

I think it is 888.89

Step-by-step explanation:

Hope this helps. :D

Pls help me with my homework

Answers

Answer:

b = 8

Step-by-step explanation:

Using Pythagorean Theorem, a[tex]a^{2} +b^{2} =c^{2}[/tex], we just plug in what we know.

We know that the hypotenuse, c, is 10 km. We also know that one of the other side lengths is 6 km, we can plug that into either a or b.

Now, our equation will be: [tex]6^{2} +b^{2} =10^{2}[/tex].

You could also use the equation: [tex]b^{2} =10^{2} -6^{2}[/tex].

Next, we'll just solve the equation.

[tex]10^{2} =100[/tex], [tex]6^{2} = 36[/tex]

[tex]b^{2} =100 - 36[/tex]

[tex]b^{2} = 64[/tex]

[tex]\sqrt{b^{2} } = \sqrt{64}[/tex]

b = 8

Good luck :D

Write the slope-intercept equation of a line that is perpendicular to y = 4x
+5 and contains the point (4-3)

Answers

Answer: y=1/4x-4

Step-by-step explanation:

y=mx+b

Marco would like to hang a banner over his shoe store. He has two ladders and would like to know how high above the ground each ladder will allow him to place the banner. A 13- foot ladder leans against the building and touches it at a point that is 11.3 feet above the ground.
what height would a 15-foot ladder touch the building if both ladders form the same angle with the ground? Make a sketch and round your answer to the nearest tenth

Answers

13 divided by 11.3 is 1.150442477876106. So 15 by 1.150442477876106 and you get 13.03846162772485. Just round it to the nearest tenth and you get 13.0.

A chef uses 18 ponds of butter each day about how many grams of butter does he use each day?

Answers

Answer:

8164.66g

Step-by-step explanation:

18 pounds -> 8164.66g

2. Solve: 2p+4= - 50

Answers

2p + 4= -50

=> 2p = -50-4

=> 2p = -54

=> p = -54/2

=> p = -27

answer: p=-27

explanation: subtract 4 from both sides,
(4+(-4)) cancels out so you do (-50(-4)) which gives you (-54). Your equation should look like 2p=-54, then you divide 2 from both sides, 2p divided by 2, leaving the “p” variable by itself, while you also divide -54 by 2, which leave you with the final answer: p=-27

Keith spent 48 minutes to make 8 flyers how long was spent for each flyer

Answers

Answer:

6 minutes

Step-by-step explanation:

48/8=6

Find the area of the shape below.

Answers

I’m pretty sure you need a value that gives you at what point the 20cm is separated at the tip of the triangle at the top if that makes sense
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