Make a sketch of a linear relationship with slope 3 that is not a proportional relationship show how you know hay slope is 3 write an equation for the line

A linear non - proportional relationship could be written with as a slope - intercept with a non - zero intercept value. One such relationship with a slope of 3 can be expressed thus :

Here, the linear relationship, has a slope value of 3 and an intercept value of 5. The function cannot be proportional due to the presence of a non-zero constant

Hence, Using a graphing calculator, the sketch of the linear relationship is attached.

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A proportional relationship is something like:

y = k*x

Where k is the constant of proportionality

And a linear relationship is something like:

y = a*x + b

Is easy to see that if:

a = k, and b = 0, this would be a proportional relationship.

Then if we want to have a slope equal to 3, but this must not be a proportional relationship, we must only have b different than 0.

This could be something like:

y = 3*x + 1

The graph of this is:

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step-by-step explanation: