Question

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.
Which point is a solution to the linear inequality y < Negative one-halfx + 2?

Answer 1

One convenient solution is (0, 0).

Check: 0 < (-1/2)(0) + 2 = 2, which is true. Since the inequality is strict (<), points on the dashed line (like (0,2) or (4,0)) are not allowed.