Question

What is the slope of a line perpendicular to the line whose equation is 3x-3y=54. Fully simplify your answer.​

Answer 1

Perpendicular = opposite sign and reciprocal slope
Make equation into y = mx + b
Add 3y to both sides
3y + 54 = 3x
Subtract 54
3y = 3x - 54
Divide by 3
y = x - 18
The slope is 1
Make it negative and reciprocal
= -1/1 = -1

Solution: the slope will be -1