Question

What is the slope of a line perpendicular to the line whose equation is 3x-3y=54

Answer 1

-1

Explanation:

Given :-

`\large \sf \bull \: 3x - 3y = 54`

To Find :-

slope

Solution :-

We know that

y = mx + b

3x - 3y = 54

-3y = -3x +54

-y = -x + 54

y = x - 18

`\\`

Answer 2

-1

Explanation:

First, put the equation of the original line in y = mx + b form

3x - 3y = 54

-3y = -3x + 54

y = x - 18

This means the slope of the line is 1. Perpendicular lines have a opposite reciprocal slope, so the line will have a slope of -1