Use the image to answer the question.

Question

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

B
B

C
C

A
A

D

Answer 1

A proportional relationship is characterized by a straight line that passes through the origin (0,0) and has a constant ratio between the x and y values.

Among the given graphs:

• Graph A shows a straight line with a negative slope and intercepts, which means it does not pass through the origin in a way that would represent a proportional relationship.
• Graph B shows a straight line with a positive slope but has a y-intercept above the origin, indicating it's not proportional.
• Graph C shows an increasing curve, which is not a linear relationship.
• Graph D shows a straight line with a unit slope, which passes through the origin and indicates a proportional relationship (y = x).

Thus, the correct answer is D.