Question

Has endpoints x(7, 10) and y(5, –8). Find the coordinates of the midpoint of:

a. (1, 9)

b. (6, 1)

c. (6, 9)

d. (1, 6)

Answer 1

The coordinates of the midpoints are (4, 9.5), (6.5, 5.5), (6.5, 9.5), and (4, 8) for options a, b, c, and d respectively.

Step-by-step explanation:

To find the coordinates of the midpoint, we can use the midpoint formula. The midpoint formula is given by: M = ((x1 + x2)/2, (y1 + y2)/2). Let's find the coordinates of the midpoint for each option:

a. (1, 9): ((7 + 1)/2, (10 + 9)/2) = (4, 9.5)

b. (6, 1): ((7 + 6)/2, (10 + 1)/2) = (6.5, 5.5)

c. (6, 9): ((7 + 6)/2, (10 + 9)/2) = (6.5, 9.5)

d. (1, 6): ((7 + 1)/2, (10 + 6)/2) = (4, 8)