Question

What is the slope of a line perpendicular to the line whose equation is y=2x + 5?

slope=-1
slope =-1/2
slope=-2

Answer 1

-1/2

Explanation:

For a line to be parallel, they must be equal, for it to be prependicular, the slope must have an opposite value and be over the value.

Answer 2

`(-1)/(2)`

Explanation:

General form of equation of line =
`y= mx+c`

Where m is the slope of line

We are given a line
`y=2x + 5`

On comparing with general form

m = 2

Let n be the slope of line perpendicular to the line
`y=2x + 5`

The product of the slopes of perpendicular lines is -1

So,
`m * n = -1`

`2 * n = -1`

`n = (-1)/(2)`

So, Option B is correct

Hence the slope of a line perpendicular to the line whose equation is y=2x + 5 is
`(-1)/(2)`