Question

Please help !! Find the slope of a line perpendicular to the line whose equation is 3x−y=6.

Fully simplify your answer.

Answer 1

`-(1)/(3)`

Explanation:

Since this question is asking for only the slope of the perpendicular line it is fairly easy

if a line has a slope m then the slope of the perpendicular line is
`-(1)/(m)`

The given line is

`3x - y = 6` [1]

To find the slope of this line, convert this into slope-intercept form:

`y = mx + c`

In equation (1) subtract 3x from both sides

`3x - 3x - y = -3x + 6`

- y = -3x + 6

multiply by - 1:
y = 3x - 6

Slope of line = 3

Slope of parallel line =
`-(1)/(3)`