The table shows a proportional relationship. x 15 9 21 y 5 3 7 Describe what the graph of the proportional relationship would look like. A line passes through the point (0, 0) and continues through the point (15, 5). A line passes through the point (0, 0) and continues through the point (7, 21). A line passes through the point (0, 0) and continues through the point (5, 15). A line passes through the point (0, 0) and continues through the point (3, 9).

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The option that describes the graph of the proportional  relationship is the option;

  • A line passes through the point (0, 0) and continues through the point (15, 5).

What is a proportional relationship?


A proportional relationship is one in which one variable in the relationship is a constant multiple of the other variable.

The table of values can be presented as follows;

x; 15 9 21

y; 5  3  7

The domain of the function is therefore;  15, 9, 21

The range of the function is therefore; 5, 3, 7

The coordinates of points on the graph of the  function is therefore;

(15, 5), (9, 3), (21, 7)

The relationship between the xi and y-values of the function is therefore;

5/15 = 3/9 = 7/21 = 1/3

The constant of proportionality in the relationship is 1/3

The relationship is therefore a proportional relationship.

The characteristics of the graph of a proportional relationship includes;

The graph passes through the origin, (0, 0).

The correct option that therefore describes the graph is the option;

A line passes through the point (0, 0), and continues through the point (15, 5)

Learn more about the graph of proportional relationship equations here:

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