Which equation represents a proportional relationship? a. y=-5 (x+1) b. y = 5x + 1 c. y=-x d. y=15x

Answer: y = 15x represents a proportional relationship.

Step-by-step explanation:

A proportional relationship is one in which two quantities vary directly with respect to each other.

That is, We can say the variable varies directly as if: y = k x. for some constant, which is called the constant of proportionality.

Or we can say that the graph of the function that describes proportional relationship must passes through the origin.

And, It will show the proportional change (that is, if x increases y increases and if x decreases y decreases)

Since, In Option A) y=-5 (x+1) if x increases y will decreases therefore it is not a proportional relationship.

In Option B) y = 5x + 1 since, the graph of this not passing through the origin therefore, it is not a proportional relationship.

In Option C) y=-x, if x increases y will decreases therefore it is not a proportional relationship.

In Option D) y=15x, The graph is passing through the origin also if x increses y will also increase therefore, It is proportional relationship.