Final answer:
To find the other endpoint of the line segment, use the midpoint formula, which states that the coordinates of the midpoint are the average of the coordinates of the two endpoints. Plug in the known values and solve for the coordinates of the other endpoint. The other endpoint of the line segment is (-7, -8).
Step-by-step explanation:
To find the other endpoint of the line segment, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint are the average of the coordinates of the two endpoints. In this case, the midpoint is M (-6, -3) and one endpoint is (-5, 2). To find the other endpoint, we can use the formula:
x = (x1 + x2)/2 and y = (y1 + y2)/2
Substituting the known values, we get:
x = (-5 + x2)/2 and -3 = (2 + y2)/2
Solving for x2 and y2, we get the coordinates of the other endpoint as x2 = -7 and y2 = -8. Therefore, the other endpoint of the line segment is (-7, -8).