Question

What is the slope of a line that is perpendicular to line m

Answer 1

the slope of a perpendicular line = -
`(3)/(5)`

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange 5x - 3y = 2 into this form

subtract 5x from both sides

- 3y = - 5x + 2 ( divide all terms by - 3 )

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

with slope m =
`(5)/(3)`

the slope of a line perpendicular = -
`(1)/(m)` = -
`(3)/(5)`