Question

What is the slope of a line that is perpendicular to the line y = 2x -6

A. -1/2
B. 1/6
C. -2
D. 2

Answer 1

The answer is A! Hope this helps :)

Answer 2

For this case we have a function of the form
`y = f (x)`, where
`f (x) = 2x-6.`

We want to know the slope of a line that is perpendicular to the line given by
`f (x).`

By definition, if two lines are perpendicular then:

`m_ {1} * m_ {2} = - 1`

We know that
`y = 2x-6` has slope
`m_ {1} = 2`

We are looking for
`m_ {2}`:

`2 * m_ {2} = - 1\\m_ {2} = - \frac {1} {2}`

Answer:

Option A

`m = - \frac {1} {2}`