The equation of a line is y = mx + b. Calculate the slope (m) from the 2 points.
m = (-2-2)/(-4-4) = -4/-8 = 1/2
We could stop here as only one answer has a slope of 1/2, namely A). But if you wanted to show that the y-intercept (b) was 0, you could use either of the points and substitute it into the equation of the line and solve for b.
(-4,-2):
-2 = 1/2(-4) + b
-2 = -2 + b
0 = b
(4,2):
2 = 1/2(4) + b
2 = 2 + b
0 = b
