Final answer:
The midpoint M of the line segment CD with endpoints C(-8, -6) and D(-4, 10) is calculated using the midpoint formula. After substitution, the coordinates of the midpoint are M(-6, 2).
Step-by-step explanation:
The question asks for the coordinates of the midpoint M of line segment CD with endpoints C(-8, -6) and D(-4, 10). To find the midpoint of a line segment in a Cartesian plane, we use the midpoint formula which states that the midpoint M=(x, y) can be found using the coordinates of the endpoints C(x1, y1) and D(x2, y2):
• x = (x1 + x2) / 2
• y = (y1 + y2) / 2
Substituting the given values:
• x = (-8 - 4) / 2 = -12 / 2 = -6
• y = (-6 + 10) / 2 = 4 / 2 = 2
Therefore, the midpoint coordinates are M(-6, 2).