Question

The coordinates of A are (-9, 2) and the coordinates of G are (3, 14). Find the coordinates of the midpoint of segment AG.

Answer 1

The midpoint of segment AG, with A at (-9, 2) and G at (3, 14), is calculated by averaging the x-coordinates and y-coordinates. The midpoint is found to be M = (-3, 8).

Step-by-step explanation:

To find the coordinates of the midpoint of segment AG, you need to average the x-coordinates and the y-coordinates of points A and G. The formula for the midpoint M, given two points A(x1, y1) and G(x2, y2), is M = ((x1 + x2)/2, (y1 + y2)/2).

Using the coordinates of A (-9, 2) and G (3, 14), the midpoint M can be calculated as follows:

1. Calculate the average of the x-coordinates: (-9 + 3)/2 = -6/2 = -3.
2. Calculate the average of the y-coordinates: (2 + 14)/2 = 16/2 = 8.

Therefore, the midpoint of segment AG is M = (-3, 8).