# If the slope is 7/3, how do you find the perpendicular slope and the parallel slope?

Apr 2, 2017

The parallel is $\frac{7}{3}$ The negative inverse of $\frac{7}{3}$ is the perpendicular slope.

#### Explanation:

Lines that are parallel have the same slope.

Lines that are perpendicular are negative inverses of each other so

$\frac{7}{3} \times - \frac{3}{7} = - 1$

and you can find this by dividing $- 1$ by $\frac{7}{3}$ and $- 1 \div \frac{7}{3} = - 1 \times \frac{3}{7} = - \frac{3}{7}$

So the slope of the perpendicular any where along the line is

$- \frac{3}{7}$