Write an equation of the line that passes through each pair of points.


[tex](5, 7), (-8, -4)[/tex]

Write An Equation Of The Line That Passes Through Each Pair Of Points.[tex](5, 7), (-8, -4)[/tex]

Answers

Answer 1

Answer:

[tex]y = \frac{11}{13} x + 2 \frac{10}{13} [/tex]

Step-by-step explanation:

y= mx +c, where m is the slope and c is the y-intercept.

We need to find the value of m and c, which can be done by using the slope formula and by substituting a pair of coordinates respectively. Find m first before finding the value of c.

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

[tex]slope = \frac{7 - ( - 4)}{5 - ( - 8)} [/tex]

[tex]slope = \frac{7 + 4}{5 + 8} [/tex]

[tex]slope = \frac{11}{13} [/tex]

Substitute the value of m into the equation:

[tex]y = \frac{11}{13} x + c[/tex]

Substitute a pair of coordinates:

When x= 5, y= 7,

[tex]7 = \frac{11}{13} (5) + c[/tex]

[tex]c = 7 - \frac{55}{13} [/tex]

[tex]c = \frac{91}{13} - \frac{55}{13} [/tex]

[tex]c = \frac{36}{13} [/tex]

[tex]c = 2 \frac{10}{13} [/tex]

Thus, the equation of the line is [tex]y = \frac{11}{13} x + 2 \frac{10}{13} [/tex].

Write An Equation Of The Line That Passes Through Each Pair Of Points.[tex](5, 7), (-8, -4)[/tex]

Related Questions

Write the absolute value equations in the form |x−b|=c (where b is a number and c can be either number or expression) that have the following solution sets: One solution: x=-3

Answers

Answer:

B=9

Step-by-step explanation:

X=-3 Plus c = b

C= 27

|x plus b| also = c

B=27 divided by 3

Answer is b=9
Explained

A plane travels at a constant speed. It takes 6 hours to travel 3,360 miles. What is the plane’s speed in miles per hour? At this rate, how many miles can it travel in 10 hours?

Answers

The planes speed would be 560 miles/hour.
If you divide 3360 by 6 = 560
In 10 hours the plane would travel 5,600 miles.
560 x 10 = 5600
First to find the planes speed in miles per hour,
Divide 3360 by 6 which gives you 560.
Then, to find for 10 hours, you would multiply 560 by 10 which gives you 5600.
The plane can travel 5600 miles in 10 hours.

Euge quiere comprar tres remeras, cuatro pares de medias, una campera y dos pantalones. Los precios unitarios son: $1.800 las remeras, $120 los pares de medias, $12.000 la campera y $3.500 los pantalones. Escribí en un renglón el cálculo que te permite saber cuánto va a gastar en su total.

entiendo bien y en si es fácil, pero no sé como hacer el cálculo combinado q piden :(

Answers

She’s like oh yeah that’s okay

help me i cant figure this out

Answers

Answer:

is 214

Step-by-step explanation:

1. find the there side of outside, which are 6,7 and 5. 2 you have to multiplay 6x5, 7x5 6x7. 3 you got to add all, so is 107, however you have to multiplay by 2, so the answer is 214

A grocer wants to mix nuts costing 5.00 per kilogram with nuts costing 8.00 per kilogram to make a 10 kilogram mixture for 6.00 a kilogram. How much of each type should he mix.

Answers

Step-by-step explanation:

let E be weight of expensive nuts, C be cheaper nuts

E*8+C*5=10*6 value equation

E+C=10 mass equation

Solve it by any method, I will do determinants

Det: 8-5=3

E= (60-50)/3=10/3 =3.33 lb

C= 80-60 /3=20/3 =6.66 lb

Answer:

mix nuts 20/3

nuts 10/3=

Step-by-step explanation:

x+y=10

5x+8y=60

I WILL GIVE BRAINLIEST

Answers

Answer:

y = -5x - 3

Step-by-step explanation:

To answer this the slope must be clculated first

slope equation:

[tex]\frac{y2-y1}{x2-x1}[/tex]

these variables symbolize ordered pairs, and the best part is that you can use any two ordered pairs for this example we can use (-5, 10) and (-3,0)

we'll call the first ordered pair 1 so x1 = -5 and y1 = 10.

the next odered pair is 2 so x2 = -3 and y2 = 0.

With this information layed out we can solve:

[tex]\frac{0-10}{-3-(-5)}[/tex]

0 - 10 = -10

-3 - (-5) = 2 --- remember negatives cancel each other out to make a positive

[tex]\frac{-10}{2}[/tex] = -5

the slope of the line is -5. Now the next thing to note is that one of the ordered pair (-3,0) is a y intercept. It's time to introduce the equatione of a line:

y = mx+b

There are other equations that can be used for a line but with the info given this equation best suits the data.

m = slope

y and x = are the ordered pair you can input into the equation to slove

b = the y intercept

So the equation would be:

y = -5x - 3

What is the average rate of change over the interval 2 ≤ x ≤ 4?

Answers

Answer:

:2.50:The average rate of change over the interval −2≤x≤2 is:(f(2) − f(-2)) / (2 − -2)

Step-by-step explanation:

A rate of change formula is used to calculate the rate which describes how one quantity changes in relation to the change in another quantity

Please! I really need some help! Do you understand 8th Grade math?

Answers

Answer:

The values that are in the correct spots are: 82, 62, 163 and 300

Step-by-step explanation:

There are 144 boys in total. We know that 82 attended the fall fling, so if we do 144-82 we know that 62 boys attended the spring social, therefore the vaules 82 and 62 are in the correct spots. We know that out of 156 girls, 75 attended the spring social. 156-75=81. The values 75 and 81 are in the wrong spots, therefore they are not correct.

82 boys + 81 girls at the fall fling = 163 total students at the fall fling, therefore 163 is also in the correct spot.

62 boys + 81 girls at the spring social = a total of 137. The chart says the total is 143 which is incorrect.

156 total boys plus 144 total girls = 300 total students, therefore 300 is in the correct spot.

Answer:

The values that are in the correct spots are: 82, 62, 163 and 300

Step-by-step explanation:

The simple answer

Answer the following about 4,240/8 estimating.

Answers

Answer: The answer to the equation 4,240/8 = 530

Step-by-step explanation:

4,240 divided by 8 = 530

4,000 divided by 8 = 500

4,800 divided by 8 = 600

(For part B 500 would be an underestimate of the answer to 4,240/8 and 600 would be an overestimate of 4,240/8)

I will give brainliest to the first person to answer

Write the equation for the following situations
After adding an 8 pound box of tennis rackets to a crate with 5 identical boxes of ping pong paddles, the crate weighed 72 pounds.

Answers

Answer:

I would say 80 pounds worth of tennis and ping pong equipment  

Step-by-step explanation:

8lbs+72lbs=80lbs

Hey Guys! Can you answer the question below? The first one gets the brainiest!

Answers

Angle 15 and 9 make a straight line

∠1 and ∠4 are corresponding angles has the same shape and size. ∠1 and ∠3 are diagonal from each other and ∠15 and ∠9 make a straight line.

What are parallel lines?

Parallel lines represent coplanar endless straight lines in geometry that never intersect. Within a single three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

Euclid's parallel postulate deals with parallel lines. Euclidean geometry is indeed a particular example of this sort of geometry, and parallelism is essentially a feature of affine geometries.

∠1 and ∠4 are corresponding angles has the same shape and size

∠1 and ∠3 are diagonal from each other

∠15 and ∠9 make a straight line

Therefore, ∠1 and ∠4 are corresponding angles has the same shape and size. ∠1 and ∠3 are diagonal from each other and ∠15 and ∠9 make a straight line.

To know more about parallel lines, here:

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Which of the following equations are linear functions? Explain how you got your answer.
Select the three linear functions.
A. y = x to the power of 2 - 1
B. y = 2x + 1
C. y = 1/2x - 5
D. y = 1/3x to the power of 2
E. y = -x

Answers

Answer:

B, C, and E

The reason B, C, and E are the answer's is because the equation of a linear equation is y= mx+b. B, C, and E are written this way. We can eliminate A and D because They are quadratic equations, because the X is squared.

Hope This Helps! :) Please mark brainliest!

Yep it’s B,C,E their linear functions

what is -4/3x < -8 equal?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: - \frac{4}{3} x < - 8[/tex]

[tex]\qquad \sf  \dashrightarrow \: - x < - 8 \times \frac{3}{4} [/tex]

[tex]\qquad \sf  \dashrightarrow \: - x < - 2 \times 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: - x < - 6[/tex]

Multiply both sides by -1, hence inequality changes

[tex]\qquad \sf  \dashrightarrow \:x > 6[/tex]

Answer:

6

Step-by-step explanation:

Graph the solution to this inequality on the number line.

1/4x − 2 < − 1 1/2

Answers

Answer:

Draw an open circle on 2 and continue the arrow left.

Step-by-step explanation:

Answer:

x < 2

Step-by-step explanation:

Question 1) y=2/3x+1

Please answer both

Question 2) y= 3/2x + 1

Answers

Answer:

y= 2/3 x +1

the slope is 2/3

the y intercept is (0,1)

y= 3/2 x +1

I believe this is 4???

The first question answer is x=-2/3

The second question answer is x=-3/2
Hope I help

PLEASE GIVE CORRECT ANSWER WILL MARK BRAINIEST

Answers

Answer:

a - 30.5

b - 31

c - 31

d - 2

Step-by-step explanation:

Mean is average:

31,29,31,30,31,30,31,31,30,31,30,31

366/12

30.5

Median is the middle of the data points.

Line data points up in order from least to greatest.

29,30,30,30,30,31,31,31,31,31,31,31

12/2=6

Since there is an even amount data points the median is the mean of the two middle data points:

Middle data points: 31,31

31

Mode is the most common data point.

It would be 31.

Range is highest point subtracted by lowest point.

31-29=2

The answer is 31 hope that helps you’re welcome

just do problem 23e. thanks

Answers

Answer:

sorry but what do i answer

Answer:

d

Step-by-step explanation:

Is this the right answer?

Answers

Answer:

Yes, I think that is the right answer.

Step-by-step explanation:

Just started Order of Operations, can someone help me please?

(1+20-9/32)*((2+5)2+16/2)

**Will give Brainliest for correct answer**
*50 points possible**

Answers

455.8125      or      [tex]\sf 455\frac{13}{16}[/tex]

follow the BODMAS rule:

B - bracketO - orderD - divisionM - multiplicationA - additionS - subtraction

Let's start!

(1+20-9/32)*((2+5)2+16/2)

remove brackets

(1+20-9/32)*(7*2+16/2)

division

(1+20-0.28125)*(7*2+8)

multiplication

(1+20-0.28125)*(14+8)

addition

(21-0.28125)*(22)

subtraction

(20.71875)*(22)

simplify

[tex]\sf 455.8125 \ \ \ or \ \ 455\dfrac{13}{16}[/tex]

Answer:

7293/16 or 455 13/16

Step-by-step explanation:

To solve this problem, we need to remember the BPEMDAS.

Where:

B = BracketsP = ParenthesisE = ExponentsM = MultiplicationD = DivisionA = AdditionS = Subtraction

Solving the expression using PEMDAS:

[tex]\huge{\text{(}1+20-\dfrac{9}{32}\huge{\text{)} \times \huge{\text{(}[2+5]2+\dfrac{16}{2} \huge{\text{)}[/tex]

[tex]\rightarrow \huge{\text{(}1+20-\dfrac{9}{32}\huge{\text{)} \times \huge{\text{(}[7]2+\dfrac{16}{2} \huge{\text{)}[/tex]                                          [Brackets]

[tex]\rightarrow \huge{\text{(}1+20-\dfrac{9}{32}\huge{\text{)} \times \huge{\text{(} 7\times 2+\dfrac{16}{2} \huge{\text{)}[/tex]

[tex]\rightarrow \huge{\text{(}1+20-\dfrac{9}{32}\huge{\text{)} \times \huge{\text{(} 14+\dfrac{16}{2} \huge{\text{)}[/tex]                             [Parenthesis multiplication]

[tex]\rightarrow \huge{\text{(}1+20-\dfrac{9}{32}\huge{\text{)} \times \huge{\text{(} 14+8\huge{\text{)}[/tex]

[tex]\rightarrow \huge{\text{(}\dfrac{160}{160} +\dfrac{3200}{160} -\dfrac{45}{160}\huge{\text{)} \times \huge{\text{(} 22\huge{\text{)}[/tex]                                    [Parenthesis Add]

[tex]\rightarrow \huge{\text{(}\dfrac{3315}{160}\huge{\text{)} \times \huge{\text{(} 22\huge{\text{)}[/tex]                                                [Parenthesis Add/Subtract]

[tex]\rightarrow \dfrac{3315}{80} \times 11 = \dfrac{663}{16} \times 11[/tex]                

[tex]\rightarrow \dfrac{7293}{16}[/tex]                                                                            [Multiplication]    

To avoid confusion, let's convert the fraction into mixed fraction. Refer to image attached.

ANSWER QUICKLY!!!

Which graph shows all real numbers closer to 0 than they are to 4?

Answers

Answer:

Graph A

Step-by-step explanation:

It’s the real numbers closer 0 then they are at 4.

A
I hope this helps

fill in teh blanks 9516 / 4

Answers

Answer:

2,379 & look below for remaining numbers

Step-by-step explanation:

The divisor 4 goes to the left of the whole box, because you are dividing all the numbers by 4.

So for the last box, 4 x 9 = 36

For the top of the 3rd box, it's 4 x ? = 280, so you do 280 divided by 4 = 70

For the 2nd box, 4 x 300 = 1200

For the 1st box, I did the problem of 9516 divided by 4 in long division form.  4 goes into 9 only 2 times & the 2 is in the thousands place.  So on top of the 1st box goes 2,000 & in the box goes 4 x 2,000 = 8,000.

Add 8,000 + 1,200 + 70 + 36 = 9,516

9,516 divided by 4 = 2,379

2,000 + 300 + 70 +  9 = 2,379

HElp help help help help

Answers

Answer:

There is 1 line.

Answer:

There is only one line.

Step-by-step explanation:

I got it right on the assignment. Goodluck!

An average adult giraffe is 18 feet tall. A newborn giraffe is about 6 feet tall/ Kayla is building a model of a mother giraffe and her newborn. She wants the model to be no more than 17 inches high.

Answers

Answer:

Mother = 17 inches and then Newborn = 5 (2/3) or 5.66666666667 inches

Step-by-step explanation:

I was sort of guessing based on your question what you were looking for. How I solved this is we know that since the average adult giraffe is 18 feet tall and the average newborn giraffe is 6 feet tall, then the adult giraffe is about 3 times as tall as the average newborn giraffe so the ratio is 3:1 adult: newborn. So with the mother at 17 inches, then since the newborn giraffe is, on average, 3 times smaller than the mother, it is therefore 17/3 = 5.666667 or 5 and 2/3s.

A bad contains 15 balls of which X is red. Write an expression for the probability that a ball drawn from the bad is red. When 5 more red balls are added to the bag, the probability becomes 3/4. Find the value of X.

Answers

Answer:

10

Step-by-step explanation:

The current probability of picking a red ball is [tex]\frac{x}{15}[/tex]. When 5 more balls are added, the probability is 3/4. We can write a ratio for this problem:

[tex]\frac{x+5}{15+5} = \frac{3}{4}[/tex]

When using cross multiplication to solve this, you get 3 * 20 = 4(x+5).

60 = 4x + 20

40 = 4x

x = 10 red balls

4x+32=12x-8 please help me

Answers

Answer:

x=5

Step-by-step explanation:

<=>12x-4x=32+8<=>8x=40<=>x=40/8=5

the answer to this question is 5

Which expression represents the total surface area, in square meters, of the rectangular pyramid below?
(18.4) (27.6) + 2 ((18.4) (20.4)) + 2 ((27.6) (17.6))
(18.4) (27.6) + 2 ((18.4) (22.4)) + 2 ((27.6) (22.4))
(18.4) (27.6) + 2 (one-half (18.4) (20.4)) + 2 (one-half (27.6) (17.6))
(18.4) (27.6) + 2 (one-half (18.4) (22.4)) + 2 (one-half (27.6) (22.4))

Answers

The third one from the top

Send help its 50 points !

Answers

Step-by-step explanation:

According to picture we can see

Vertical angles

The opposite angles formed by two intersecting  lines

1, 6 and 9Complementary angles

The angles forming a right angle

2Adjacent angles4 and 5 (most of other angles can be added to this group)Linear pair

The angles forming a straight line

3, 7 and 8
According to picture we can see
Vertical angles
The opposite angles formed by two
intersecting lines
1. 6 and 9
Complementary angles
The angles forming a right angle
• 2
Adjacent angles
4 and 5 (most of other angles can be
added to this group)
Linear pair
The angles forming a straight line
3, 7 and 8

Write the equation for each translation of the graph y=Ix+2I.
A.) one unit up
B.) one unit down
C.) one unit to the left
D.) one unit to the right

Answers

Answer:

d

Step-by-step explanation:

because it tells you how to do it in the equation.

y=1+|x+2| is A, B is y=|x+2|-1, C is y=|x+3| and D is y=|x+1|

WHO ANSWER'S THE FIRST WITH THE CORRECT ANSWER WILL GET FREE BRAINLIST!!!
Michiko claims that to solve the system of linear equations 15x + 8y = 1 and 21x + 4y = -13, instead of multiplying the second equation by –2 and then adding the equations, she could multiply the second equation by 2 and then subtract the second equation from the first equation. Which statement is correct?

A: Michiko is right for this system of linear equations, but her method will not work for other systems of linear equations.

B: Michiko is right for this system of linear equations, and her method will also work for other systems of linear equations.

C: Michiko is wrong because her method will give the opposite of the correct value for x for any system of linear equations.

D: Michiko is wrong because her method will give the opposite of the correct value for y for any system of linear equations.

Answers

Answer: B) Michiko is right for this system of linear equations, and her method will also work for other systems of linear equations

Hope this helped

Michiko is right for this system of linear equations, but her method will not work for other systems of linear equations, option A is correct.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

To solve the system of linear equations 15x + 8y = 1 and 21x + 4y = -13, Michiko suggests multiplying the second equation by 2 and then subtracting the second equation from the first equation.

Multiplying the second equation by 2 gives:

42x + 8y = -26

Now, subtracting the second equation from the first equation gives:

15x + 8y - (42x + 8y) = 1 - (-26)

Simplifying this equation gives:

-27x = 27

Divide both sides by 27

x=-1

we can substitute x = -1 into either of the original equations.

Using the first equation, we get:

15(-1) + 8y = 1

Simplifying this equation gives:

8y = 16

Dividing both sides by 8 gives:

y = 2

Hence, Michiko is right for this system of linear equations, but her method will not work for other systems of linear equations, option A is correct.

To learn more on Equation:

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Help pls :,) (pls dont delete this) Is it C. or D.?

Answers

Answer:

C

Step-by-step explanation:

The story mostly talks about how money manangement should be tought in schools.

Answer:

C. Money skills should be taught at school.

Step-by-step explanation:

Brainlest please?

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