Question

Find the coordinates of the midpoint of line segment LM, where L has coordinates (-3, 14) and M has coordinates (10, -4).

A) (3.5, 5)

B) (5, 3.5)

C) (5, -3.5)

D) (3, 5)

Answer 1

The coordinates of the midpoint of line segment LM are (3.5, 5), which is found using the midpoint formula and corresponds to option A.

Step-by-step explanation:

To find the coordinates of the midpoint of line segment LM, which is between points L and M with coordinates L(-3, 14) and M(10, -4), we use the midpoint formula. The midpoint formula is given by:

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

Thus, the midpoint coordinates can be calculated as follows:

x-coordinate of midpoint = (-3 + 10) / 2 = 7 / 2 = 3.5
y-coordinate of midpoint = (14 + (-4)) / 2 = 10 / 2 = 5

Therefore, the midpoint coordinates are (3.5, 5), which corresponds to option A.