Final answer:
The midpoint M of the line segment joining points C = (6, -2) and D = (-8, -6) is calculated using the midpoint formula and results in M = (-1, -4).
Step-by-step explanation:
To find the midpoint M of the line segment joining the points C = (6, -2) and D = (-8, -6), you can use the midpoint formula, which is:
M = ((x1 + x2)/2, (y1 + y2)/2)
Substitute the coordinates of points C and D into the formula:
M = ((6 + (-8))/2, (-2 + (-6))/2)
M = ((6 - 8)/2, (-2 - 6)/2)
M = (-2/2, -8/2)
M = (-1, -4)
Therefore, the midpoint M of the line segment joining C and D is (-1, -4).