Question

Find the midpoint of the segment with the following endpoints.
(−10,−7) and (−4,−4)

Answer 1

To find the midpoint of a segment defined by two endpoints \((x_1, y_1)\) and \((x_2, y_2)\), you can use the midpoint formula:

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

For the given endpoints \((-10, -7)\) and \((-4, -4)\), we have:

\[
x_1 = -10, \quad y_1 = -7, \quad x_2 = -4, \quad y_2 = -4
\]

Now, substitute these values into the midpoint formula:

\[
\text{Midpoint} = \left( \frac{-10 + (-4)}{2}, \frac{-7 + (-4)}{2} \right)
\]

Calculating the x-coordinate:

\[
\frac{-10 - 4}{2} = \frac{-14}{2} = -7
\]

Calculating the y-coordinate:

\[
\frac{-7 - 4}{2} = \frac{-11}{2} = -5.5
\]

Thus, the midpoint of the segment is:

\[
\boxed{(-7, -5.5)}
\]