Question

Need help solving this problem, it’s math 1 Question 1

Answer 1

The roads are parallel to each other

Step-by-step 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

`\text{ slope=}(y_2-y_1)/(x_2-x_1)`

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:

`\text{ slope = }(0-16)/(20-0)=(-16)/(20)=-(4)/(5)`

For Sunshine Avenue, we can replace (x1, y1) = (2, 6) and (x2, y2) = (7, 2) to get:

`\text{ slope = }(2-6)/(7-2)=(-4)/(5)`

Since both slopes are -4/5, we can say that the two roads are parallel to each other.