Question

Find midpoint M
of the line segment with endpoints A(−1.4,2.5)
and B(2.6,−1.5)
. Enter both responses as a decimal value to the tenth place.

(1 point)
The midpoint of segment AB¯¯¯¯¯¯¯¯
is (
,
).

Answer 1

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

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

For the given points \( A(-1.4, 2.5) \) and \( B(2.6, -1.5) \):

- \( x_1 = -1.4 \)
- \( y_1 = 2.5 \)
- \( x_2 = 2.6 \)
- \( y_2 = -1.5 \)

Now, we can calculate the \( x \)-coordinate of the midpoint:

\[
x_M = \frac{-1.4 + 2.6}{2} = \frac{1.2}{2} = 0.6
\]

Next, we calculate the \( y \)-coordinate of the midpoint:

\[
y_M = \frac{2.5 + (-1.5)}{2} = \frac{2.5 - 1.5}{2} = \frac{1.0}{2} = 0.5
\]

Thus, the midpoint \( M \) is:

\[
M(0.6, 0.5)
\]

Rounding to the tenth place, we have:

\[
M = (0.6, 0.5)
\]

Final answer:

The midpoint of segment \( AB \) is \( (0.6, 0.5) \).