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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)

1 answer

A proportional relationship can be identified by a straight line passing through the origin (0,0) with a constant slope. In the graphs described:

  • Graph A shows a straight line with a negative slope but does not go through the origin.
  • Graph B shows a straight line with a positive slope and a y-intercept above the origin, so it does not pass through the origin.
  • Graph C shows an increasing concave up curve that initiates at the origin, but it is not a straight line, so it's not a proportional relationship.
  • Graph D shows a straight line with a unit slope that passes through the origin.

Therefore, the graph that shows a proportional relationship is Graph D.

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