Question

What is the midpoint between point A and B if point A is at (7, -4) and point B is at (-9, 5)

Answer 1

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

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

Given point \( A(7, -4) \) and point \( B(-9, 5) \):

- \( x_1 = 7 \)
- \( y_1 = -4 \)
- \( x_2 = -9 \)
- \( y_2 = 5 \)

Now, plug the values into the formula:

\[
\text{Midpoint} = \left( \frac{7 + (-9)}{2}, \frac{-4 + 5}{2} \right)
\]
\[
= \left( \frac{7 - 9}{2}, \frac{1}{2} \right)
\]
\[
= \left( \frac{-2}{2}, \frac{1}{2} \right)
\]
\[
= (-1, 0.5)
\]

Therefore, the midpoint between point A and point B is \( \boxed{(-1, 0.5)} \).