Question

Find the midpoint
(8,8)(0,-4)

Answer 1

To find the midpoint of two points \( (x_1, y_1) \) and \( (x_2, y_2) \), you can use the midpoint formula:

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

In this case, the points are \( (8, 8) \) and \( (0, -4) \). Here, \( (x_1, y_1) = (8, 8) \) and \( (x_2, y_2) = (0, -4) \).

Plugging the values into the formula:

\[
\text{Midpoint} = \left( \frac{8 + 0}{2}, \frac{8 + (-4)}{2} \right)
\]

Calculating each component:

\[
\text{Midpoint} = \left( \frac{8}{2}, \frac{8 - 4}{2} \right) = \left( 4, \frac{4}{2} \right) = \left( 4, 2 \right)
\]

Thus, the midpoint of the points \( (8, 8) \) and \( (0, -4) \) is \( \boxed{(4, 2)} \).