Which statement about proportional relationships is false?

Question

A proportional relationship must graph as a straight line.
A graph of a proportional relationship must pass through (0, 0).
Each point (or pair) in a proportional relationship must share the same ratio.
Each point (or pair) in a proportional relationship must share the same difference.

Answer 1

The false statement about proportional relationships is:

"Each point (or pair) in a proportional relationship must share the same difference."

In a proportional relationship, the points share a constant ratio, not a constant difference. For example, in a proportional relationship defined by the equation \(y = kx\) (where \(k\) is a constant), the ratio \(\frac{y}{x}\) remains constant, but the difference \(y - x\) varies.