Graphs of Proportional Relationships Quick Check

Question

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Question
Use the image to answer the 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

A
A

B
B

C
C

D

Answer 1

A proportional relationship is represented by a straight line that passes through the origin (0,0) with a constant rate of change.

• Graph A has a negative slope and does not pass through the origin.
• Graph B has a positive slope but does not pass through the origin since its y-intercept is above the origin.
• Graph C is an increasing concave up curve, indicating a non-linear relationship and does not represent proportionality.
• Graph D is a straight line with a unit slope and passes through the origin.

Therefore, the correct answer is:

D