Question

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

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:

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

Given:
- Point A \( (7, -4) \) where \( x_1 = 7 \) and \( y_1 = -4 \)
- Point B \( (-9, 5) \) where \( x_2 = -9 \) and \( y_2 = 5 \)

Now, plug the values into the formula:

1. For the x-coordinate:
\[
\frac{x_1 + x_2}{2} = \frac{7 + (-9)}{2} = \frac{7 - 9}{2} = \frac{-2}{2} = -1
\]

2. For the y-coordinate:
\[
\frac{y_1 + y_2}{2} = \frac{-4 + 5}{2} = \frac{1}{2} = 0.5
\]

Thus, the midpoint \( M \) is:

\[
M = (-1, 0.5)
\]

So, the midpoint between point A and point B is \( (-1, 0.5) \).