Question

Find midpoint M of the line segment with endpoints A (-3.2, 3.5) and B (2.1, -2.3). Enter your response as decimals.

Answer 1

To find the midpoint \( M \) of the line segment with endpoints \( A(x_1, y_1) \) and \( B(x_2, y_2) \), we use the midpoint formula:

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

Given the points:
- \( A(-3.2, 3.5) \) where \( x_1 = -3.2 \) and \( y_1 = 3.5 \)
- \( B(2.1, -2.3) \) where \( x_2 = 2.1 \) and \( y_2 = -2.3 \)

We can calculate the x-coordinate of the midpoint:

\[
\frac{x_1 + x_2}{2} = \frac{-3.2 + 2.1}{2} = \frac{-1.1}{2} = -0.55
\]

Next, we calculate the y-coordinate of the midpoint:

\[
\frac{y_1 + y_2}{2} = \frac{3.5 + (-2.3)}{2} = \frac{3.5 - 2.3}{2} = \frac{1.2}{2} = 0.6
\]

Thus, the midpoint \( M \) is:

\[
M = (-0.55, 0.6)
\]

Therefore, the midpoint \( M \) of the line segment with endpoints \( A \) and \( B \) is

\[
\boxed{(-0.55, 0.6)}
\]