# How do you find the slope that is perpendicular to the line 3x + 2y=6?

Apr 8, 2018

color(green)("Slope of perpendicular line " m_1 = -(1/m) = 2/3

#### Explanation:

Standard slope - intercept form equation is $y = m x + c$

Given equation is $3 x + 2 y = 6$

$2 y = - 3 x + 6$

$y = - \left(\frac{3}{2}\right) x + 3$

$\therefore S l o p e \text{ } m = - \left(\frac{3}{2}\right)$

color(green)("Slope of perpendicular line " m_1 = -(1/m) = 2/3