Respuesta :
Answer:
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:

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 :
- y = 3x + 5
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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