Question

Find midpoint MM of the line segment with endpoints A(−3.2,3.5)A(−3.2,3.5) and B(2.1,−2.3)B(2.1,−2.3) . Enter your response as decimals. (1 point) The midpoint of segment AB¯¯¯¯¯¯¯¯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:

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

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 of \( A \) and \( B \):

\[
M = \left( \frac{-3.2 + 2.1}{2}, \frac{3.5 + (-2.3)}{2} \right)
\]

Calculating each component:

1. For the x-coordinate:
\[
\frac{-3.2 + 2.1}{2} = \frac{-1.1}{2} = -0.55
\]

2. For the y-coordinate:
\[
\frac{3.5 - 2.3}{2} = \frac{1.2}{2} = 0.6
\]

Thus, the midpoint \( M \) is:

\[
M = (-0.55, 0.6)
\]

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