Question

Find the midpoint of the line segment joining the points (3, 4) and (7, -2).

• A. (5, 1)
• B. (4, 1)
• C. (5, 2)
• D. (4, 2)

Hint:

To find the midpoint, average the x-coordinates and y-coordinates of the endpoints using \( \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \).

Answer 1

The Correct Option is A

The midpoint of a line segment joining points \( (x_1, y_1) \) and \( (x_2, y_2) \) is: \[ \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] Given points (3, 4) and (7, -2): \[ x = \frac{3 + 7}{2} = \frac{10}{2} = 5, \quad y = \frac{4 + (-2)}{2} = \frac{4 - 2}{2} = \frac{2}{2} = 1 \] Thus, the midpoint is: \[ \boxed{(5, 1)} \]