Question

graph a line that is perpendicular to the given line. determine the slope of the given line and the one you graphed in simplest form. click and drag on the graph to draw a line. click and drag to plot a perpendicular line. the line will change colors when a parallel or perpendicular line is drawn accurately.

Explanation:

Step1: Find slope of given line

Use two - point form $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's assume two points on the given line: $(0,- 2)$ and $(4,0)$. Then $m_1=\frac{0-( - 2)}{4 - 0}=\frac{2}{4}=\frac{1}{2}$.

Step2: Find slope of perpendicular line

The slope of a line perpendicular to a line with slope $m_1$ is $m_2=-\frac{1}{m_1}$. Since $m_1=\frac{1}{2}$, then $m_2=-2$.

Answer:

The slope of the given line is $\frac{1}{2}$ and the slope of the perpendicular line is $-2$.