Question

Write an equation perpendicular to y=3/4x-1 that passes through the point (3, -3).

Answer 1

`y=(-4)/(3)x+1`

Explanation:

perpendicular means negative reciprocal of the gradient

y = ¾x - 1 is perpendicular to y =
`(-4)/(3)x-1`

now we need to workout what the y intercept should be to make the sides equal. let's take away -1 for now

`y=(-4)/(3)x`

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

-3 = -4

To get from -4 to -3, you have to add 1. Therefore the y intercept is one. This means the final equation is:

`y=(-4)/(3)x+1`