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 (
,
).
Remaining Attempts : 3

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 \( A(-1.4, 2.5) \) and \( B(2.6, -1.5) \):

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

Now, substitute the values into the midpoint formula:

\[ M_x = \frac{-1.4 + 2.6}{2} = \frac{1.2}{2} = 0.6 \] \[ M_y = \frac{2.5 + (-1.5)}{2} = \frac{1.0}{2} = 0.5 \]

Therefore, the midpoint \( M \) is:

\[ M = (0.6, 0.5) \]

So the answer is:

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