Question

Use the image to answer the question.

A line segment on a coordinate plane. Both the x-and y-axes range from negative 3 to 4 in unit increments. The line segment descends from upper A on the top left to upper B on the bottom right.

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 the line segment with endpoints \( A(-1.4, 2.5) \) and \( B(2.6, -1.5) \), you can use the midpoint formula:

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

Where \( (x_1, y_1) \) are the coordinates of point \( A \) and \( (x_2, y_2) \) are the coordinates of point \( B \).

Substituting the coordinates:

\[
M = \left( \frac{-1.4 + 2.6}{2}, \frac{2.5 + (-1.5)}{2} \right)
\]

Calculate the \( x \)-coordinate:

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

Now calculate the \( y \)-coordinate:

\[
\frac{2.5 - 1.5}{2} = \frac{1.0}{2} = 0.5
\]

Thus, the midpoint \( M \) is:

\[
M = (0.6, 0.5)
\]

Therefore, the response is:

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