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:
-
For the x-coordinate: \[ \frac{x_1 + x_2}{2} = \frac{7 + (-9)}{2} = \frac{7 - 9}{2} = \frac{-2}{2} = -1 \]
-
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 \( (-1, 0.5) \).