Question

given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line. 3/2 2/3 -3/2

Answer 1

2x-3y-5=0
2x-5=3y
3y=2x-5
y=
`(2)/(3) x- (5)/(3)`
Gradient of line 1 =
`(2)/(3)`
Gradient of line 2;

`m_(1) * m_(2) =-1`

`m_(2) * (2)/(3) =-1`

`m_(2) =- (3)/(2)`