Question

Find the midpoint
(0,2)(-4,-5)

Answer 1

To find the midpoint of the two points \((0, 2)\) and \((-4, -5)\), we use the midpoint formula:

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

where \((x_1, y_1)\) are the coordinates of the first point and \((x_2, y_2)\) are the coordinates of the second point.

In this case:
- \((x_1, y_1) = (0, 2)\)
- \((x_2, y_2) = (-4, -5)\)

Now we calculate:

\[
\text{Midpoint} = \left( \frac{0 + (-4)}{2}, \frac{2 + (-5)}{2} \right)
\]
\[
= \left( \frac{-4}{2}, \frac{-3}{2} \right)
\]
\[
= (-2, -\frac{3}{2})
\]

Thus, the midpoint is \((-2, -\frac{3}{2})\).