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A linear relationship is an equation of the form y=mx+c . A linear relationship is: Question 3Select one: a. a proportionality when m=0 . b. a proportionality when c>0 . c. never a proportionality. d. always a proportionality. e. a proportionality when c=0 .

Question

A linear relationship is an equation of the form y=mx+c . A linear relationship is:

Question 3Select one:

a. a proportionality when m=0 .

b. a proportionality when c>0 .

c. never a proportionality.

d. always a proportionality.

e. a proportionality when c=0 .

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Solution

The correct answer is e. A linear relationship is a proportionality when c=0.

Here's why:

A proportionality is a special kind of linear relationship where the line passes through the origin (0,0). In the equation y=mx+c, c is the y-intercept, which is the point where the line crosses the y-axis. If c=0, the line crosses the y-axis at the origin, making the relationship a proportionality.

So, if c is not 0, the line does not pass through the origin, and the relationship is not a proportionality. Therefore, options a, b, c, and d are incorrect.

This problem has been solved

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