Question

Find the slope of a line perpendicular to the line whose equation is 5x + 6y = - 18.

Fully simplify your answer.

Answer 1

Answer: 6/5

Explanation:

trust me

Answer 2

m =
`(6)/(5)`

Explanation:

First, we must rewrite 5x + 6y = - 18 to the form y = mx + b.

5x + 6y = -18

6y = -5x - 18

y =
`(-5)/( 6)`x - 3

The equation of a perpendicular line to y =
`(-5)/( 6)`x - 3 must have a slope that is the negative reciprocal of the original slope.

So, the slope of the perpendicular line is

m =
`(6)/(5)`