Question

What is the slope of the line perpendicular to 2x-3y=8

Answer 1

y = -
`(3)/(2)`x -
`(8)/(3)`

Explanation:

2x-3y=8

rewrite, solve for y

3y = 2x - 8

divide by 3

y =
`(2)/(3)`x -
`(8)/(3)`

perpendicular = negative reciprocal slope = -
`(3)/(2)`