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A figure shows four graphs labeled A, B, C, and D, each with an x and y axis and 0 at the origin, and each showing a curve. Graph A shows a straight line with a negative slope having x and y intercepts. Graph B shows a straight line with a positive slope having a y intercept above origin. Graph C shows an increasing concave up curve initiating at the origin. Graph D shows a straight line with a unit slope.

Decide which graph shows a proportional relationship.

(1 point)
Responses

A
A

B
B

C
C

D
D
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User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

A proportional relationship is characterized by a straight line that passes through the origin (0,0) and has a constant ratio between the variables. From the description you provided, Graph D shows a straight line with a unit slope. This indicates a proportional relationship because the slope remains constant, and if the line passes through the origin, it means that as one variable increases, the other does so in a consistent ratio.

Therefore, the graph that shows a proportional relationship is:

**D**