Final answer:
The midpoint of segment fg is (-1, -4).
Step-by-step explanation:
The midpoint of a line segment can be found by finding the average of the coordinates of the two endpoints. In this case, the coordinates of point f are (-5, -4) and the coordinates of point g are (3, -4). To find the midpoint, we can add the x-coordinates and divide by 2 to find the x-coordinate of the midpoint, and then add the y-coordinates and divide by 2 to find the y-coordinate of the midpoint.
Adding the x-coordinates: -5 + 3 = -2. Dividing by 2: -2/2 = -1. So the x-coordinate of the midpoint is -1.
Adding the y-coordinates: -4 + -4 = -8. Dividing by 2: -8/2 = -4. So the y-coordinate of the midpoint is -4.
Therefore, the midpoint of segment fg is (-1, -4).