A line that passes between (-5, 8) and (2, 4).

y = -4/7x + 36/7

Step-by-step explanation:

First find the slope between the points,…

-4/7

Then use a point and the slope together to find the y-intercept

y = -4/7x + 36/7

Explanation:

The slope-intercept of a slope only would be like:

y = mx

Then write the slope-intercept form of a slope only:

y = -4/7x

Then use a point (-5, 8) to find the y-intercept

y = -4/7x + y-intercept

(8) = -4/7(-5) + y-intercept

8 = 20/7 + y-intercept

y-intercept = 20/7 - 8

y-intercept = -36/7