Find the slope of a line perpendicular to the line -3x + 4y = 7.

Question

asked Jun 5, 2023 132k views

1 Answer

Brandon Minton · Answer 1 · 2023-06-09T17:02:32+0000

Answer:

perpendicular slope = -
(4)/(3)

Explanation:

the equation of a line in slope- intercept form is

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

given

- 3x + 4y = 7 ( add 3x to both sides )

4y = 3x + 7 ( divide through by 4 )

y =
(3)/(4) x +
(7)/(4) ← in slope- intercept form

with slope m =
(3)/(4)

given a line with slope m then the slope of a line perpendicular to it is

m_(perpendicular) = -
(1)/(m) = -
(1)/((3)/(4) ) = -
(4)/(3)