Question

Find the midpoint M of the line segment joining the points C = (-1, -2) and D = (7, 6).

a) M = (3, 2)
b) M = (2, 3)
c) M = (6, 4)
d) M = (4, 6)

Answer 1

The midpoint M of the line segment joining points C = (-1, -2) and D = (7, 6) is calculated using the midpoint formula, and the result is (3, 2), which corresponds to option a) M = (3, 2).

Step-by-step explanation:

To find the midpoint M of the line segment joining the points C = (-1, -2) and D = (7, 6), you need to apply the midpoint formula which is given by:

M = ((x1 + x2)/2, (y1 + y2)/2)

By substituting the values from points C and D into the formula, we get:

M = ((-1 + 7)/2, (-2 + 6)/2)

M = (6/2, 4/2)

M = (3, 2)

Therefore, the midpoint M of the line segment joining C and D is (3, 2), which corresponds to option a) M = (3, 2).