Question

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

(1 point)
Responses

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

(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

S=(-3,1)
T=(5,-4)

Answer 1

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

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

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

Substituting the coordinates of \( S \) and \( T \):
- \( x_1 = -3 \)
- \( y_1 = 1 \)
- \( x_2 = 5 \)
- \( y_2 = -4 \)

Now plug these values into the midpoint formula:

\[
M\left(\frac{-3 + 5}{2}, \frac{1 + (-4)}{2}\right) = M\left(\frac{2}{2}, \frac{-3}{2}\right) = M(1, -1.5)
\]

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

The correct response is:

**(1, -1.5)**