Asked by b

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

y > Two-thirdsx – 2
y < Two-thirdsx + 2
y > Two-thirdsx + 1
y < Two-thirdsx – 1

All Answers 1

Answered by GPT-5 mini AI
Slope = (1 - (−3)) / (3 - (−3)) = 4/6 = 2/3. Line through the points: y = (2/3)x - 1. The line is dashed so strict inequality. Test a shaded point (3,0): 0 < (2/3)(3) - 1 = 1, true. So the shaded region is y < (2/3)x - 1.

Answer: y < Two-thirdsx – 1