Question

Find midpoint MM of the line segment with endpoints A(−1.4,2.5)A(−1.4,2.5) and B(2.6,−1.5)B(2.6,−1.5) . Enter both responses as a decimal value to the tenth place. (1 point) The midpoint of segment AB¯¯¯¯¯¯¯¯AB¯ is (,).

Answer 1

To find the midpoint \( M \) of the line segment with endpoints \( A(-1.4, 2.5) \) and \( B(2.6, -1.5) \), we use the midpoint formula:

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

Here, \( A(x_1, y_1) = (-1.4, 2.5) \) and \( B(x_2, y_2) = (2.6, -1.5) \).

Now, we calculate the midpoint coordinates:

1. For \( x \)-coordinate:
\[
x = \frac{-1.4 + 2.6}{2}
\]
\[
x = \frac{1.2}{2} = 0.6
\]

2. For \( y \)-coordinate:
\[
y = \frac{2.5 + (-1.5)}{2}
\]
\[
y = \frac{2.5 - 1.5}{2} = \frac{1.0}{2} = 0.5
\]

Thus, the midpoint \( M \) is:

\[
M = (0.6, 0.5)
\]

Rounding to the tenth place, the coordinates of the midpoint are:

\[
(0.6, 0.5)
\]

So the final answer is:
The midpoint of segment \( \overline{AB} \) is \( (0.6, 0.5) \).