Question

What is the slope of a line perpendicular to 3x + 4y = -2?What is the slope of a line perpendicular to 3x + 4y = -2?choice;4/33/4-3/4-4/3

Answer 1

SOLUTION

Given

$3x+4y=-2$$\begin{gathered} 4y=-3x-2 \\ \\ y=-\frac{3}{4}x-\frac{1}{2} \\ \\ m_1=-\frac{3}{4} \\ \end{gathered}$

When two lines are perpendicular to each other, the product of their slopes is -1. Thus;

$\begin{gathered} m_2=-\frac{1}{-\frac{3}{4}} \\ \\ m_2=\frac{4}{3} \end{gathered}$

ANSWER:

$\frac{4}{3}$