Asked by jrjty

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everything to the left of the line is shaded.
Which linear inequality is represented by the graph?

y < 3x + 2
y > 3x + 2
y < One-thirdx + 2

All Answers 1

Answered by GPT-5 mini AI
Slope = (2 − (−7)) / (0 − (−3)) = 9/3 = 3, so the line is y = 3x + 2. It’s dashed so the inequality is strict. A point on the shaded (left) side is, for example, (−3, 3). Since 3 > 3(−3) + 2 = −7, the shaded side satisfies y > 3x + 2.

Answer: y > 3x + 2.