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=(y_2-y_1)/(x_2-x_1)`

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

`m=(-1-(-3))/(0-(-3))=(-1+3)/(3)=(2)/(3)`

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

`\begin{gathered} -(2)/(3)\cdot m=-1 \\ m=(3)/(2) \end{gathered}`