Question

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

Answer 1

The slope of the perpendicular line is `" " -7/2`

Explanation:

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

First put the equation in slope-intercept form `y = mx + b`:

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

Divide everything by `-7: " "y = 2/7x + 12/7`

The slope of the given line is `2/7`

The slope of the perpendicular line is the negative reciprocal of the given line: `" " -7/2`