Question

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

Answer 1

To find the midpoint \( M \) of the line segment connecting the points \( S(-3, 1) \) and \( T(5, -4) \), we 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:

- \( x_1 = -3 \)
- \( y_1 = 1 \)
- \( x_2 = 5 \)
- \( y_2 = -4 \)

Now substituting these values into the formula:

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

\[
M_y = \frac{1 + (-4)}{2} = \frac{1 - 4}{2} = \frac{-3}{2} = -1.5
\]

So, the midpoint \( M \) is:

\[
M = (1, -1.5)
\]

Therefore, the correct answer is \( (1, -1.5) \).