Question

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Which of the following tables represents a linear relationship that is also proportional?


x 2 3 4
y −3 0 3

x 4 2 0
y −2 −1 0

x −2 1 4
y 0 1 2

x 0 1 2
y −4 0 4

Answer 1

x 4 2 0

y = -2 -1 0

Explanation:

A linear proportional relationship must go through the origin (0,0) The second choice down is the only one that gives the point (0,0)

The slope is

1/-2 or -1/2

The equation is

y = -1/2x

Answer 2

The table x 0 1 2 y -4 0 4 represents a linear relationship that is also proportional.

Explanation:

This table represents a linear and proportional relationship because the increase or decrease in the x values is directly proportional to the increase or decrease in the y values. As the x values increase or decrease by 1, the y values increase or decrease by 4, which is a constant ratio, indicating that the two variables are proportionally related.