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
D
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page 14 of 14
The correct answer is D. Graph D shows a straight line with a unit slope, which indicates a proportional relationship between x and y.
Graph D shows a proportional relationship.
To determine which graph shows a proportional relationship, we need to understand what a proportional relationship means. In a proportional relationship, the ratio between the x-values and y-values remains the same for all points in the graph.
Looking at the options given, graph D shows a straight line with a unit slope. A unit slope means that for every unit increase in x, there is a corresponding unit increase in y. This is the characteristic of a proportional relationship.
Therefore, the graph that shows a proportional relationship is D.