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

Answer:

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

Step-by-step explanation:

our original equation

$y = \frac{1}{3} x - 7$

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

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