Question

Determine the midpoint of each line segment with the given endpoints.

1. (-2,5) and (0,2)
2. (0,3) and (0,-3)
3. (-2,0) and (-4,0)
4. (9,0) and (0,-7)​

Answer 1

1. (-1, 3.5)
2. (0, 0)
3. (-3, 0)
4. (4.5, -3.5)

Explanation:

Midpoint Formula

• M = (x₁ + x₂ / 2, y₁ + y₂ / 2)

#1 : (-2,5) and (0. 2)

• M = (-2 + 0 / 2, 5 + 2 / 2)
• M = (-2/2, 7/2)
• M = (-1, 7/2)
• M = (-1, 3.5)

#2 : (0, 3) and (0, -3)

• M = (0 + 0 / 2, 3 - 3 / 2)
• M = (0, 0)

#3 : (-2, 0) and (-4, 0)

• M = (-2 - 4 / 2, 0 + 0 / 2)
• M = (-6/2, 0)
• M = (-3, 0)

#4 : (9, 0) and (0, -7)

• M = (9 + 0 / 2, 0 - 7 / 2)
• M = (9/2, -7/2)
• M = (4.5, -3.5)