Question

Find the midpoint
(-7,8)(-4,6)

Answer 1

To find the midpoint of the line segment connecting the points \((-7, 8)\) and \((-4, 6)\), we can use the midpoint formula:

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

Here, \((x_1, y_1) = (-7, 8)\) and \((x_2, y_2) = (-4, 6)\).

Now, we can calculate the midpoint:

\[
M = \left( \frac{-7 + (-4)}{2}, \frac{8 + 6}{2} \right)
\]

Calculating the x-coordinate:

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

Calculating the y-coordinate:

\[
\frac{8 + 6}{2} = \frac{14}{2} = 7
\]

Therefore, the midpoint is:

\[
M = \left(-5.5, 7\right)
\]