Question

The mid-point of the line segment joining the points (2, 7) and (12, -7) is

• A. (-7, 0)
• B. (7, 0)
• C. (0, -7)
• D. (0, 7)

Answer 1

The Correct Option is B

To solve the problem, we need to find the midpoint of the line segment joining the points \( (2, 7) \) and \( (12, -7) \).

1. Use the Midpoint Formula:
The midpoint \( M \) of a line segment joining \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by:
\[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]

2. Substitute the Given Points:
\[ x_1 = 2, \quad y_1 = 7, \quad x_2 = 12, \quad y_2 = -7 \]
\[ M = \left( \frac{2 + 12}{2}, \frac{7 + (-7)}{2} \right) = \left( \frac{14}{2}, \frac{0}{2} \right) = (7, 0) \]

Final Answer:
The midpoint of the segment is \( (7, 0) \).