Use the image to answer the question.

A coordinate plane with x and y axes ranging from negative 6 to 6 in increments of 2 shows four curves labeled A, B, C, and D. Curve A is a straight line passing through the plotted points left parenthesis negative 2 comma 0 right parenthesis, left parenthesis negative 1 comma 1 right parenthesis, left parenthesis 0 comma 2 right parenthesis, and left parenthesis 1.5 comma 3.5 right parenthesis. Curve B is a straight line passing through the points left parenthesis negative 4 comma 4 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 4 comma negative 4 right parenthesis. Lines A and B intersect at plotted point left parenthesis negative 1 comma 1 right parenthesis. Curve C is an increasing concave down curve in the third quadrant passing through left parenthesis negative 1.5 comma negative 4 right parenthesis, origin, and increasing concave up curve in the first quadrant passing through plotted point left parenthesis 1.5 comma 3.5 right parenthesis. Curve D is a straight line passing through left parenthesis negative 1.5 comma negative 4 right parenthesis and left parenthesis 2.5 comma 4 right parenthesis. Lines A and D intersect in Quadrant 1.

Decide which graph shows a proportional relationship.

(1 point)
Responses

D
D

C
C

B
B

A
A
Remaining Attempts : 3
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1 answer

A proportional relationship on a graph is characterized by a straight line that passes through the origin (0,0).

Based on the description:

  • Curve A is a straight line that does not pass through the origin.
  • Curve B is a straight line that also passes through the origin, indicating a proportional relationship.
  • Curve C is not linear and does not represent a proportional relationship.
  • Curve D is a straight line but does not pass through the origin.

Thus, the correct answer is:

B

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