Answer:
The roads are parallel to each other
Explanation:
Two lines are parallel if they have the same slope. In this case, we need to find the slope of the main roads using the following formula
[tex]\text{ slope=}\frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x1, y1) and (x2, y2) are two points on the road.
For Moonbeam Drive, we can replace (x1, y1) = (0, 16) and (x2, y2) = (20, 0) to get:
[tex]\text{ slope = }\frac{0-16}{20-0}=\frac{-16}{20}=-\frac{4}{5}[/tex]
For Sunshine Avenue, we can replace (x1, y1) = (2, 6) and (x2, y2) = (7, 2) to get:
[tex]\text{ slope = }\frac{2-6}{7-2}=\frac{-4}{5}[/tex]
Since both slopes are -4/5, we can say that the two roads are parallel to each other.
