Explain how you can find the unit rate and slope when given an equation

The slope of a hill is rise over run. Both have dimensions of length, so their ratio is dimensionless. The units of slope are the units of rise divided by units of run, where rise is what we plot on the vertical axis of a graph and run is what we plot on the horizontal axis.

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.