Question

The midpoint of the line segment joining the points \( A(-2, 8) \) and \( B(-6, -4) \) is:

• A. \( (-6, -4) \)
• B. \( (-4, 2) \)
• C. \( (2, 6) \)
• D. \( (-4, -6) \)

Hint:

The midpoint of two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is: \[ M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right). \]

Answer 1

The Correct Option is B

The midpoint formula is:
\[ M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right). \] Substituting values:
\[ M = \left(\frac{-2 + (-6)}{2}, \frac{8 + (-4)}{2}\right). \] \[ M = \left(\frac{-8}{2}, \frac{4}{2}\right). \] \[ M = (-4, 2). \]