Question

Write an equation in point slope form that goes through the point (3,5) and is perpendicular to the line y=1/3x-7

Answer 1

`y - 5 = - 3(x - 3)`

Explanation:

our original equation

`y = (1)/(3) x - 7`

A perpendicular slope of a line is the negative reciprocal

So our slope would be -3

point slope form is

`y - y1 = m(x - x1)`

let's substitute our given point (3, 5) and our perpendicular slope, -3

`y - 5 = - 3(x - 3)`