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 (,).
Answers
GPT-4o mini
To find the midpoint \( M \) of the line segment with endpoints \( A(-1.4, 2.5) \) and \( B(2.6, -1.5) \), we use the midpoint formula:
\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
Where \( A(x_1, y_1) \) and \( B(x_2, y_2) \).
Substituting the coordinates of points \( A \) and \( B \):
\[
M = \left( \frac{-1.4 + 2.6}{2}, \frac{2.5 + (-1.5)}{2} \right)
\]
Calculating the x-coordinate:
\[
\frac{-1.4 + 2.6}{2} = \frac{1.2}{2} = 0.6
\]
Calculating the y-coordinate:
\[
\frac{2.5 - 1.5}{2} = \frac{1.0}{2} = 0.5
\]
Thus, the coordinates of the midpoint \( M \) are:
\[
M(0.6, 0.5)
\]
Rounded to the tenth place, the midpoint of segment \( AB \) is \( (0.6, 0.5) \).
\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
Where \( A(x_1, y_1) \) and \( B(x_2, y_2) \).
Substituting the coordinates of points \( A \) and \( B \):
\[
M = \left( \frac{-1.4 + 2.6}{2}, \frac{2.5 + (-1.5)}{2} \right)
\]
Calculating the x-coordinate:
\[
\frac{-1.4 + 2.6}{2} = \frac{1.2}{2} = 0.6
\]
Calculating the y-coordinate:
\[
\frac{2.5 - 1.5}{2} = \frac{1.0}{2} = 0.5
\]
Thus, the coordinates of the midpoint \( M \) are:
\[
M(0.6, 0.5)
\]
Rounded to the tenth place, the midpoint of segment \( AB \) is \( (0.6, 0.5) \).