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On the coordinate plane, Kyle graphs a line that represents a proportional relationship between x and y

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Option D) (0, 0)

Explanation:

The complete question is:

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On the coordinate plane, Kyle graphs a line that represents a proportional relationship between x and y. Which point MUST be on the line?

A) (0, 1)

B) (1, 0)

C) (1, 1)

D) (0, 0)

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A proportional relationship between x and y can be written in a mathematical language as follows:

[tex]y=kx[/tex]

For any non-constan k-value. As you can see, this k-value represents the slope of a line. Remember that the Slope-intercept form of a line is given by:

[tex]y=mx+b \\ \\ m:Slope \\ \\ b:y-intercept[/tex]

In the case of [tex]y=kx[/tex] the y-intercept is zero, so the line passes through.

In conclusion, Kyle's graph is a line that represents a proportional relationship between x and passes through point (0, 0)

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