Question

33Which line is perpendicular to the line shown on the graph?OA y=-3x+2Ob y=-x-4Oc y= fx+1OD y=x+1

Answer 1

First, we have to find the slope of the given line using the following formula.

$m=\frac{y_2-y_1}{x_2-x_1}$

Let's replace the points (-3,-3) and (0,-1).

$m=\frac{-1-(-3)}{0-(-3)}=\frac{-1+3}{3}=\frac{2}{3}$

Then, we use the formula for perpendicular slopes to find the new perpendicular slope.

$\begin{gathered} -\frac{2}{3}\cdot m=-1 \\ m=\frac{3}{2} \end{gathered}$