Use the image to answer the question.

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 a line segment with endpoints \( A(x_1, y_1) \) and \( B(x_2, y_2) \), you can use the midpoint formula:

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

Given the points:

• \( A(-1.4, 2.5) \)
• \( B(2.6, -1.5) \)

Substituting the coordinates into the formula:

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

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

Thus, the midpoint \( M \) is \( (0.6, 0.5) \).

In decimal value to the tenth place, the midpoint of segment \( AB \) is: \[ (0.6, 0.5) \]