Question

determine the equation of the line through the points (8,2) and (-4,-1)

Please explain and show work

Answer 1

as you know, the slope of y=mx+b is a constant, m. It is the ratio of how fast y changes for every change of 1 in x.

So, the slope of this line is (-1-2)/(-4-8) = -3/-12 = 1/4

So, the change in y is 1/4 the change in x. Starting at (8,2), then

y-2 = 1/4 (x-8)