Question

Line JK has the slope 3/4 and is perpendicular to line LM. What is the slope of line LM?

Answer 1

The slope of line
`LM` is
`-(4)/(3)`

Explanation:

Line
`JK` has the slope
`(3)/(4)` and is perpendicular to line
`LM`

Suppose, the slope of line
`LM` is
`m`

We know that, the product of the slopes of two lines which are perpendicular to each other is always
`-1`. So, the equation will be..............

`(3)/(4)*m= -1\\ \\(3m)/(4)=-1\\ \\ 3m= -4\\ \\ m=-(4)/(3)`

So, the slope of line
`LM` will be
`-(4)/(3)`