Question

the equation of line $d$ is $y = \frac{2}{3}x + 2$. line $e$ is perpendicular to $d$. what is the slope of line $e$?
simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Identify slope of line d

Slope of $y=\frac{2}{3}x+2$ is $m_1=\frac{2}{3}$

Step2: Find perpendicular slope

Perpendicular slope $m_2 = -\frac{1}{m_1}$
$m_2 = -\frac{1}{\frac{2}{3}} = -\frac{3}{2}$

Answer:

$-\frac{3}{2}$