Question

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

y > 2x + 2
y ≥ One-halfx + 1
y > 2x + 1
y ≥ One-halfx + 2

Answer 1

Slope = (1 - (-1)) / (0 - (-1)) = 2, and y-intercept is 1, so the line is y = 2x + 1. It's dashed, so strict inequality. "Left of the line" corresponds to x < (y - 1)/2, which rearranges to y > 2x + 1.

Answer: y > 2x + 1.