Question

A line segment has the endpoints K(2.6, –15.1) and L(16.2, –8.6). Find the coordinates of its midpoint M.

Write the coordinates as decimals or integers.

Answer 1

To find the midpoint \( M \) of the line segment with endpoints \( K(2.6, -15.1) \) and \( L(16.2, -8.6) \), you can use the midpoint formula:

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

Here, \( (x_1, y_1) = (2.6, -15.1) \) and \( (x_2, y_2) = (16.2, -8.6) \).

Calculating the x-coordinate of the midpoint:

\[
x_M = \frac{2.6 + 16.2}{2} = \frac{18.8}{2} = 9.4
\]

Calculating the y-coordinate of the midpoint:

\[
y_M = \frac{-15.1 + (-8.6)}{2} = \frac{-23.7}{2} = -11.85
\]

Therefore, the coordinates of the midpoint \( M \) are:

\[
M(9.4, -11.85)
\]