Aline passes through the points (2, –2) and (–6, 2). the point (a, –4) is also on the line. what is the value of a?

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)