Slope is a real number scalar or a vector that represents the rate of change of a mathematical function. Unit rate is a measurement using specified units, generally a measurement quantity per unit time, that represents the rate of change of a physical phenomenon. Unit rate can also be a scalar, such as speed, or a vector, such as velocity or acceleration.
In short, the difference is whether or not you have something like "miles per hour" tacked on the end.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it