Question

a city planner wants to build a road perpendicular to d street. what is the slope of the new road?

Explanation:

Step1: Find slope of D Street

D Street passes through points (5, 0) and (5, - 6). Using the slope formula $m=\frac{y_2 - y_1}{x_2 - x_1}$, we have $x_1 = 5,y_1=0,x_2 = 5,y_2=-6$. Then $m_D=\frac{-6 - 0}{5 - 5}$, which is undefined. This means D - Street is a vertical line.

Step2: Determine slope of perpendicular line

A line perpendicular to a vertical line is a horizontal line. The slope of a horizontal line is 0.

Answer:

0