How do you find the midpoint of a line segment whose endpoints are (2, 5) and (4, 9)?

To find the midpoint of a line segment, you can use the midpoint formula. The formula is:

Midpoint (M) = ( (x1 + x2) / 2 , (y1 + y2) / 2 )

Where:

• (x₁, y₁) are the coordinates of the first endpoint, and
• (x₂, y₂) are the coordinates of the second endpoint.

In this case, the endpoints are:

• Endpoint 1: (2, 5)
• Endpoint 2: (4, 9)

Now, let’s plug the values into the formula:

M = ( (2 + 4) / 2 , (5 + 9) / 2 )

Calculating the x-coordinate:

x-coordinate = (2 + 4) / 2 = 6 / 2 = 3

Calculating the y-coordinate:

y-coordinate = (5 + 9) / 2 = 14 / 2 = 7

Therefore, the midpoint M of the line segment joining the points (2, 5) and (4, 9) is:

M = (3, 7)

In conclusion, the midpoint of the line segment whose endpoints are (2, 5) and (4, 9) is (3, 7).