Question

Find the slope of a line perpendicular to 2x + y = -8

Answer 1

slope =
`(1)/(2)`

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 2x + y = - 8 into this form by subtracting 2x from both sides

y = - 2x - 8 ← in slope- intercept form

with slope m = - 2

Given the slope of a line m then the slope of a line perpendicular to it is

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(-2)` =
`(1)/(2)`

Answer 2

M = -2

Explanation:

Use the slope-intercept form y=mx +b to find the slope. (Just plug in the numbers.)