Question

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

Answer 1

To find the midpoint \( M(x, y) \) between the endpoints \( S(-3, 1) \) and \( T(5, -4) \), you can use the midpoint formula:

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

Where \( (x_1, y_1) \) are the coordinates of point \( S \) and \( (x_2, y_2) \) are the coordinates of point \( T \).

Substituting the coordinates:

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

Now calculate the midpoint \( M \):

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

Calculating the x-coordinate:

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

Calculating the y-coordinate:

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

Therefore, the midpoint \( M \) is \( (1, -1.5) \).

The correct answer is:

**O (1, -1.5)**.