Question

parallel and perpendicular lines
study the map to complete each statement.
sundance avenue will run parallel to moonbeam drive 4 blocks north of the highway, through the point (0, 4). determine the slope of moonbeam drive on the map.
slope of moonbeam drive =\frac{0 - 16}{20 - 0}
hint: the slope of the line that represents moonbeam drive is \frac{0 - 16}{20 - 0}. rewrite in lowest terms.

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Identify points

We have the points $(x_1,y_1)=(0,16)$ and $(x_2,y_2)=(20,0)$.

Step3: Substitute into formula

$m=\frac{0 - 16}{20 - 0}=\frac{- 16}{20}$.

Step4: Simplify fraction

$\frac{-16}{20}=-\frac{4}{5}$

Answer:

$-\frac{4}{5}$