Question

The endpoints of line GH are G(-5, -1) and H(9, -5). Find the coordinates of the midpoint M.

A. (2, -3)
B. (2, -2)
C. (3, -3)
D. (3, -2)

Answer 1

The coordinates of the midpoint M are (2, -3).

Step-by-step explanation:

To find the coordinates of the midpoint M of line GH, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M between two points (x1, y1) and (x2, y2) is given by:

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

Applying this formula to the given points G(-5, -1) and H(9, -5), we get M = ((-5 + 9)/2, (-1 + -5)/2) = (2, -3).

Therefore, the coordinates of the midpoint M are (2, -3), so the correct answer is option A.