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

Question

asked Dec 28, 2019 130k views

1 Answer

Chris Trevarthen · Answer 1 · 2020-01-03T03:23:28+0000

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)