Find the coordinates of the midpoint of the line segment joining the points A(2, 3) and B(6, 7).

Correct option is D

Step 1: Formula for Midpoint

The formula to calculate the midpoint of a line segment joining two points $$(x_1, y_1)$$​ and $$(x_2, y_2)$$​ is:

​$$M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$$​

Step 2: Apply the midpoint formula

Substitute the coordinates of points A(2, 3) and B(6, 7) into the formula:

​$$M = \left( \frac{2 + 6}{2}, \frac{3 + 7}{2} \right)$$​

Step 3: Simplify

​$$M = \left( \frac{8}{2}, \frac{10}{2} \right)$$​

M = (4, 5)

Final Answer:

The coordinates of the midpoint are (4, 5)