Question

Look at the image for the question. Show all that apply + explanation to help me figure it out better.

Answer 1

The general point-slope equation for a str. line is y-k = m(x-h),

where m is the slope and (h,k) is a point on the line.

Given that the line passes thru (-4,6) and (1,2), we find the slope as follows:
6-2
m = ----------- = -4/5
-4-1

Subst. -4/5 for m, 6 for k and -4 for h in y-k = m(x-h):

y-6 = (-4/5)(x+4)

Compare this result to the equations given.