Use the image to answer the question.

Question

Line segment upper A upper B is plotted on a coordinate plane with x-axis ranging from negative 5 to 4 and y-axis ranging from negative 3 to 5 both in increments of 1.

Find midpoint M
of the line segment with endpoints A(−3.2,3.5)
and B(2.1,−2.3)
. Enter your response as decimals.

(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 \( A(-3.2, 3.5) \) and \( B(2.1, -2.3) \):

1. Calculate the x-coordinate of the midpoint:

\[ \frac{-3.2 + 2.1}{2} = \frac{-1.1}{2} = -0.55 \]

2. Calculate the y-coordinate of the midpoint:

\[ \frac{3.5 + (-2.3)}{2} = \frac{3.5 - 2.3}{2} = \frac{1.2}{2} = 0.6 \]

Therefore, the midpoint \( M \) is:

\[ M(-0.55, 0.6) \]

So the final answer is:

The midpoint of segment \( \overline{AB} \) is \((-0.55, 0.6)\).