Question

Find the slope of a line perpendicular to the line whose equation is 3x + 2y = 14. Fully simplify your answer

Answer 1

2/3

Explanation:

`3x + 2y = 14`

`2y = - 3x + 14`

`y = - (3)/(2) x + 7`

Slopes of perpendicular lines have product -1 (are negative reciprocals), so the slope of a line perpendicular to this line is 2/3.