Question

A line has a slope of 4. what is A line has a slope of 4. what is the slope of any line perpindicular to this line?the slope of any line perpindicular to this line?

Answer 1

The slope of perpendicular lines are -recipricals. so if the slope of a line is 4, then the slope of it's perpendicular line is -1/4

Answer 2

Answer:
`(-1)/(4)`

Explanation:

We know that the product of the slopes of two lines which are perpendicular to each other is -1.

Given : The slope of a line =
`4`

Let
`m` be the slope of the other line which is perpendicular to line having slope 4.

Then, we have

`4* m=-1\\\\\Rightarrow\ m=(-1)/(4)`

Hence, the slope of any line perpendicular to line with slope 4 is
`(-1)/(4)`