The graph of is shown in red below. Assuming the graph consists of three line segments, what is ? (Assume grid lines are spaced 1 unit apart.)
(f(-4) - f(-1))/(-4 - (-1)) = (f(-2) - f(-1))/(-2 - (-1))
(4 - (-1))/(-4 + 1) = (f(-2) - (-1))/(-2 + 1)
(4 + 1)/(-3) = (f(-2) + 1)/(-1)
5/3 = f(-2) + 1
f(-2) = 5/3 - 1
f(-2) = 2/3
.