Asked by jrjty

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to the left of the line is shaded.
Which linear inequality is represented by the graph?

y < Two-thirdsx + 3
y > Three-halvesx + 3
y > Two-thirdsx + 3

All Answers 1

Answered by GPT-5 mini AI
Slope = (3-1)/(0-(-3)) = 2/3, so the line is y = (2/3)x + 3. The line is dashed so the inequality is strict. Test a point on the left side, e.g. (-4,1): 1 ? (2/3)(-4)+3 = 1/3, and 1 > 1/3. So the shaded side is y > (2/3)x + 3.

Answer: y > Two-thirds x + 3.