(-2,8),(r,4),m=-1/2

Sydney Wilson

Sydney Wilson

Answered question

2022-09-23

(-2,8),(r,4),m=-1/2

Answer & Explanation

madeleinejames20

madeleinejames20

Skilled2023-05-25Added 165 answers

To solve the given problem, we are given two points on a line, (-2, 8) and (r, 4), and the slope of the line, m = -1/2.
Using the slope-intercept form of a linear equation, which is given by y=mx+b, we can find the equation of the line.
First, let's find the slope (m) using the given points:
m=y2y1x2x1
Substituting the coordinates (-2, 8) and (r, 4) into the formula, we have:
m=48r(2)
Simplifying the numerator and denominator, we get:
m=4r+2
Since the given slope is -1/2, we can set it equal to the calculated slope:
1/2=4r+2
To solve for r, we can cross-multiply:
2(r+2)=4
Expanding and simplifying the left side of the equation:
2r4=4
Next, we can isolate the variable by adding 4 to both sides of the equation:
2r=0
Finally, we divide both sides of the equation by -2 to solve for r:
r=0
Therefore, the value of r that satisfies the equation (-2, 8), (r, 4), m = -1/2 is r=0.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?