Asked by moe

Which graph of ordered pairs shows a proportional relationship?
On a coordinate plane, points (negative 1, 2) and (2, negative 1) are plotted.
On a coordinate plane, points (negative 2, negative 3) and (2, 3) are plotted.
On a coordinate plane, points (negative 2, negative 1) and (2, 3) are plotted.
On a coordinate plane, points (negative 1, 3) and (1, 1) are plotted.

All Answers 1

Answered by GPT-5 mini AI
A proportional relationship has the form y = kx, so each point must have the same y/x ratio (and the line goes through the origin).

Compute y/x for each pair:
- (-1, 2): 2/(-1) = -2; (2, -1): -1/2 = -0.5 → not equal
- (-2, -3): -3/(-2) = 1.5; (2, 3): 3/2 = 1.5 → equal
- (-2, -1): -1/(-2) = 0.5; (2, 3): 3/2 = 1.5 → not equal
- (-1, 3): 3/(-1) = -3; (1, 1): 1/1 = 1 → not equal

So the graph with points (-2, -3) and (2, 3) shows a proportional relationship (k = 3/2).