Question

Which line is perpendicular to a line that has a slope of 1/2?

Answer 1

if one line is perpendicular that has a slope of 1/2 then the other line is -2

Answer 2

Line having the slope = -2

Explanation:

If a line is given with the slope
`m_(1)=(1)/(2)` then we have to find a line which is perpendicular to this line.

Let the slope of other line is
`m_(2)` and this line is perpendicular to the first line.

Then
`m_(1). m_(2)=-1`

So
`((1)/(2)).(m_(2))=-1`

`m_(2)=-2`

So the line which has slope = -2 will be perpendicular to the line having slope =
`(1)/(2)`