Question

Find the slope of a line perpendicular to the line whose equation is 6x + 5y = -30.

Fully simplify your answer.

Answer 1

`6x + 5y = - 30`

`5y = - 6x - 30`

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

Since the slope of this line is -6/5, the slope of a perpendicular line is 5/6. The slopes of perpendicular lines are negative reciprocals.