Question

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 the line segment with endpoints \( A(-1.4, 2.5) \) and \( B(2.6, -1.5) \), you can use the midpoint formula, which is given by:

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

Here, \( (x_1, y_1) = (-1.4, 2.5) \) and \( (x_2, y_2) = (2.6, -1.5) \).

Now, let's calculate \( M \):

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

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

Thus, the midpoint \( M \) of segment \( AB \) is:

\[
\boxed{(0.6, 0.5)}
\]