Question

On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (2, 0). Everything to the right of the line is shaded.
The solutions to the inequality y ≤ 2x − 4 are shaded on the graph. Which point is a solution?

(−1, 1)
(1, −1)
(3, 2)

Answer 1

Plug each point into y ≤ 2x − 4.

(-1, 1): 1 ≤ 2(−1) − 4 → 1 ≤ −6 (false)
(1, −1): −1 ≤ 2(1) − 4 → −1 ≤ −2 (false)
(3, 2): 2 ≤ 2(3) − 4 → 2 ≤ 2 (true)

So (3, 2) is a solution.