Question

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

Answer 1

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)`