Question

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2), and (1, negative 1). Everything to the right of the line is shaded.
The solutions to the inequality y > −3x + 2 are shaded on the graph. Which point is a solution?

(0, 2)
(2, 0)
(1, −2)
(−2, 1)

Answer 1

Test each point in y > −3x + 2.

(0, 2): 2 > −3(0)+2 → 2 > 2 (false).
(2, 0): 0 > −3(2)+2 → 0 > −4 (true).
(1, −2): −2 > −3(1)+2 → −2 > −1 (false).
(−2, 1): 1 > −3(−2)+2 → 1 > 8 (false).

So (2, 0) is the solution.