Question

Given the endpoints S(-3,1) and T(5,-4) calculate the midpoint M.
(2, -3) (-4, 2.5) (-1, 0.5) (1, -1.5)

Answer 1

To find the midpoint \( M \) between the points \( S(-3, 1) \) and \( T(5, -4) \), 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 \( S \) and \( (x_2, y_2) \) are the coordinates of point \( T \).

Plugging in the coordinates:

\[
M\left( \frac{-3 + 5}{2}, \frac{1 + (-4)}{2} \right)
\]

Calculating the \( x \)-coordinate:

\[
\frac{-3 + 5}{2} = \frac{2}{2} = 1
\]

Calculating the \( y \)-coordinate:

\[
\frac{1 - 4}{2} = \frac{-3}{2} = -1.5
\]

Thus, the midpoint \( M \) is:

\[
M(1, -1.5)
\]

The correct answer from the provided options is \( (1, -1.5) \).