Find midpoint M

Question

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 the line segment with endpoints \( A(-3.2, 3.5) \) and \( B(2.1, -2.3) \), you can use the midpoint formula:

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

In this case, \( (x_1, y_1) = (-3.2, 3.5) \) and \( (x_2, y_2) = (2.1, -2.3) \).

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

Thus, the midpoint \( M \) is: \[ M = (-0.55, 0.6) \]

So, the midpoint of segment \( AB \) is \((-0.55, 0.6)\).