The coordinates of the police car are (0, 1).
To find the coordinates of the police car, we need to use the concept of midpoint. The midpoint of a line segment is the point that is equidistant from both ends of the segment.
The coordinates of the midpoint can be found by taking the average of the x-coordinates and the average of the y-coordinates of the two endpoints.
In this case, the coordinates of Exit A are (-8, -4) and the coordinates of Exit B are (8, 6).
The average of the x-coordinates is (-8 + 8) / 2 = 0.
The average of the y-coordinates is (-4 + 6) / 2 = 1.
Therefore, the coordinates of the midpoint (police car) are (0, 1).
The probable question may be:
Consider a section of the highway with Exit A at coordinates (−8,−4) and Exit B at coordinates (8,6). A police car is parked exactly four units away from Exit A. What are the coordinates of the police car?
Additional Information:
The highway is like a number line, and each exit is like a point on that line. Exit A is located at -8, and Exit B is at 8, creating a segment of length 16 units. The police car is positioned equidistant from Exit A, forming a right-angled triangle with Exit A and the police car.