# How do you find the slope that is perpendicular to the line y=-6x+2?

Jul 12, 2016

$\text{slope} = \frac{1}{6}$

#### Explanation:

The equation of the line is in the form $y = m x + c$ where m is the slope and c is the y-intercept.

In this case the slope of the original line is -6.

The product of two perpendicular slopes will always equal -1, hence:

${m}_{1} \cdot {m}_{2} = - 1$

$- 6 \cdot {m}_{2} = - 1$

${m}_{2} = \frac{1}{6}$