Question

Given the following points, write the equation of the line that goes through them. ( -12,56), (0,8), and (8,-24).

Answer 1

Answer:

$y=-4x+8$

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the data

(0,8), and (8,-24).

substitute

$m=\frac{-24-8}{8-0}$

$m=\frac{-32}{8}$

$m=-4$

step 2

Find the equation of he line in slope intercept form

$y=mx+b$

we have

$m=-4$

$b=8$ ----> the y-intercept is given

substitute

$y=-4x+8$