Question

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below and to the right of the line is shaded.
Which linear inequality is represented by the graph?

y ≤ 2x + 4
y ≤ one-halfx + 3
y ≥ One-halfx + 3
y ≥ 2x + 3

Answer 1

First find the line: slope = (3 − 1)/(0 − (−4)) = 2/4 = 1/2, and it passes through (0,3), so y = (1/2)x + 3.

The line is solid and the region below it is shaded, so the inequality is y ≤ (1/2)x + 3.

Answer: y ≤ one-half x + 3.