The graph below shows four straight lines, p, q, r, and s: graph of line p going through ordered pairs negative 2, negative 5 and 0, 3. graph of line q going through ordered pairs negative 1, negative 2 and 1, 6. graph of line r going through ordered pairs negative 1, negative 4 and 1, 4. graph of line s going through ordered pairs 0, negative 3 and 2, 5 which line is represented by the function f(x) = 4x - 3?

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.