Question

Help pls look at the picture

Answer 1

Option A:
`-(4)/(3)` is the correct answer.

Explanation:

Given that:

Slope of the line =
`(3)/(4)`

Let,

m be the slope of the line perpendicular to the line with slope
`(3)/(4)`

We know that,

The product of slopes of two perpendicular lines is equals to -1.

Therefore,

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

Multiplying both sides by
`(4)/(3)`

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

m =
`-(4)/(3)`

`-(4)/(3)` is the slope of the line perpendicular to the line having slope
`(3)/(4)`

Hence,

Option A:
`-(4)/(3)` is the correct answer.