A Fraction of a Slope

A slope does not have to be a whole number. For the line through (0, -1) and (6, 3), the formula gives:

$$m = \frac{3+1}{6+0} = \frac{4}{6} = \frac{2}{3}$$

Leave the answer as the reduced fraction $\frac{2}{3}$. Do not round it to a decimal. A slope of $\frac{2}{3}$ means the line goes up 2 for every 3 steps right, and that is exact. A slope of $\frac{3}{2}$ means up 3 for every 2 steps right, which is steeper.

Always reduce the fraction. The slopes $\frac{4}{6}$, $\frac{6}{9}$ and $\frac{2}{3}$ are all the same slope, written in three ways. When you reduce each one, you can see that they are equal. Give the reduced form as your answer.