Question

Given the endpoints S(−3,1)
and T(5,−4)
, calculate midpoint M
.

(1 point)
Responses

(1,−1.5)
left parenthesis 1 comma negative 1.5 right parenthesis

(−1,0.5)
left parenthesis negative 1 comma 0.5 right parenthesis

(2,−3)
left parenthesis 2 comma negative 3 right parenthesis

(−4,2.5)

Answer 1

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

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

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

Substituting the values:

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

Calculate the x-coordinate of the midpoint:

\[
\frac{x_1 + x_2}{2} = \frac{-3 + 5}{2} = \frac{2}{2} = 1
\]

Calculate the y-coordinate of the midpoint:

\[
\frac{y_1 + y_2}{2} = \frac{1 + (-4)}{2} = \frac{1 - 4}{2} = \frac{-3}{2} = -1.5
\]

Thus, the coordinates of the midpoint \( M \) are:

\[
M(1, -1.5)
\]

So the correct response is:

\((1, -1.5)\)