Final answer:
The midpoint between (-4, 9) and (28, -29) is calculated by averaging the x-coordinates and y-coordinates separately, resulting in the midpoint (12, -10).
Step-by-step explanation:
The midpoint between two points in a coordinate system is found by taking the average of the x-coordinates and the average of the y-coordinates of the given points. In this case, to find the midpoint between the points (-4, 9) and (28, -29), we follow these steps:
- Add the x-coordinates together and divide by 2: (-4 + 28) / 2 = 24 / 2 = 12.
- Add the y-coordinates together and divide by 2: (9 + (-29)) / 2 = (-20) / 2 = -10.
Therefore, the midpoint is (12, -10).