# How do you find the slope that is perpendicular to the line 2x-7y= -12?

Jun 9, 2017

The slope of the perpendicular line is $\text{ } - \frac{7}{2}$

#### Explanation:

Given: $2 x - 7 y = - 12$

First put the equation in slope-intercept form $y = m x + b$:

Add $- 2 x$ to both sides: $- 7 y = - 2 x - 12$

Divide everything by $- 7 : \text{ } y = \frac{2}{7} x + \frac{12}{7}$

The slope of the given line is $\frac{2}{7}$

The slope of the perpendicular line is the negative reciprocal of the given line: $\text{ } - \frac{7}{2}$