# What is the slope of the line that is perpendicular to the line whose equation is  3x +2y = 9?

Jul 18, 2015

Line equation: 2y + 3x = 9
Answer: $a = \frac{2}{3}$

#### Explanation:

Equation of the Line (1) in slope-intercept form:

$2 y = - 3 x + 9$ -->$y = - \frac{3 x}{2} + \frac{9}{2}$

Slope of Line (2) that is perpendicular to Line (1): $\frac{2}{3}$. The product of the 2 slopes must be (-1).