A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a? A coordinate plane.

–6
–1
1
6

First, we need to find the slope:
m=rise/run OR

m=(2+2)/(-6-2)
m=4/-8
m=-1/2

second we need to find the equation for the line using point-slope form:

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

to find "a" we plug in the given y value and solve for x (in this case x=a):

so, a=6 and the point becomes (6,-4)