You are given the graph of four straight lines, P, Q, R, and S. You are asked to find which line corresponds to the function of f(x) = 4x - 3. The easiest way to answer this is to plug in the values of the coordiante points used for each graph.
f(x) = 4x - 3 = y
y = 4x - 3
for graph of line S we have the coordinates (0, -3) and (2, 5)
(0, -3)
-3 = 4(0) - 3
-3 = -3
(2,5)
5 = 4(2) - 3
5 = 8 - 3
5 = 5
So the answer is the graph of line S.