Question

Aaron and Beth live at opposite ends of Highway 61 and the entrance for Interstate 87 is halfway between their homes. If the coordinates of Aaron’s home are (5, −5) and Beth’s are (−3, 1) what point represents the intersection of Highway 61 and Interstate 87?

Answer 1

The intersection of Highway 61 and Interstate 87 is at the midpoint between Aaron's home at (5, -5) and Beth's home at (-3, 1), which is calculated as (1, -2).

Step-by-step explanation:

The question asks to find the point that represents the intersection of Highway 61 and Interstate 87, given the coordinates of Aaron's home and Beth's home. To find this midpoint, we average the x-coordinates of Aaron's and Beth's homes, and average the y-coordinates separately. The coordinates of Aaron's home are (5, -5) and Beth's home are (-3, 1). So to find the x-coordinate of the midpoint, we calculate (5 + (-3))/2, which equals 1. To find the y-coordinate of the midpoint, we calculate (-5 + 1)/2, which equals -2. Therefore, the coordinates of the intersection of Highway 61 and Interstate 87 are (1, -2).