Question

find the midpoint of the segment with the given endpoints.
C (-3, -8) and D (-6.5, -4.5)

Answer 1

To find the midpoint of a line segment with given endpoints \( C(x_1, y_1) \) and \( D(x_2, y_2) \), you can use the midpoint formula:

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

Given the endpoints \( C(-3, -8) \) and \( D(-6.5, -4.5) \):

1. \( x_1 = -3 \)
2. \( y_1 = -8 \)
3. \( x_2 = -6.5 \)
4. \( y_2 = -4.5 \)

Now, plug the values into the midpoint formula:

\[
M = \left( \frac{-3 + (-6.5)}{2}, \frac{-8 + (-4.5)}{2} \right)
\]

Calculate the x-coordinates:

\[
M_x = \frac{-3 - 6.5}{2} = \frac{-9.5}{2} = -4.75
\]

Now, calculate the y-coordinates:

\[
M_y = \frac{-8 - 4.5}{2} = \frac{-12.5}{2} = -6.25
\]

Thus, the midpoint \( M \) of the segment with endpoints \( C \) and \( D \) is:

\[
M = (-4.75, -6.25)
\]