does the equation y=5x represent a proportional relationship? explain your answer my fine sir

Answer 1

Yes, the equation y=5x represents a proportional relationship.

In a proportional relationship, the ratio between the values of y and x remains constant. In this case, for every value of x, y is always 5 times that value. The constant ratio of 5 shows that as x increases or decreases, y increases or decreases in a consistent manner.

For example, if x=1, y = 5(1) = 5. If x=2, y = 5(2) = 10. The ratio of y to x is always 5, which indicates a proportional relationship.