Question

What is the slope of a line perpendicular to the line whose equation is 4x - y = 6?

Answer 1

slope = -
`(1)/(4)`

Explanation:

The equation of a line in slope- intercept form is

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

Rearrange 4x - y = 6 into this form by subtracting 4x from both sides

- y = - 4x + 6 ( multiply through by - 1 )

y = 4x - 6 ← in slope- intercept form

with slope m = 4

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

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(4)`

Answer 2

-1/4

Explanation:

4x-y=6

y=4x-6

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perpendicular means negative reciprocal of the given slope,

right now you have slope of 4, negative reciprocal of 4 is -1/4.

So y=-1/4x-6.