Question

Given the endpoints S(−3,1) and T(5,−4) , calculate midpoint M . (1 point) Responses (2,−3) left parenthesis 2 comma negative 3 right parenthesis (1,−1.5) left parenthesis 1 comma negative 1.5 right parenthesis (−4,2.5) left parenthesis negative 4 comma 2.5 right parenthesis (−1,0.5)
Select One

Answer 1

To find the midpoint \( M \) of the line segment with endpoints \( S(-3, 1) \) and \( T(5, -4) \), you use the midpoint formula:

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

Substituting the coordinates of \( S \) and \( T \):

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

Now plug in the values:

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

Calculating the values:

\[
M\left(\frac{2}{2}, \frac{-3}{2}\right) = M(1, -1.5)
\]

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

**The correct response is:** \( (1, -1.5) \) (left parenthesis 1 comma negative 1.5 right parenthesis).