Question

enter the answer in the space provided. fractions should be entered in lowest terms using a forward - slash (/) and converted to improper fractions when applicable. use only numbers, a negative sign (-), a decimal point (.), and/or a forward slash (/) to enter the answer. a line is graphed in the coordinate plane. what is the slope of a line perpendicular to the line graphed, written as a fraction?

Explanation:

Step1: Find the slope of the given line

Pick two points on the line, say (0, 3) and (2, - 1). Use the slope - formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Then $m=\frac{-1 - 3}{2-0}=\frac{-4}{2}=-2$.

Step2: Use the perpendicular - slope relationship

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

Answer:

$\frac{1}{2}$