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 is \((7, -4)\) (where \(x_1 = 7\) and \(y_1 = -4\))
- Point B is \((-9, 5)\) (where \(x_2 = -9\) and \(y_2 = 5\))
Plugging the values into the formula:
\[ \text{Midpoint} = \left( \frac{7 + (-9)}{2}, \frac{-4 + 5}{2} \right) \]
Calculating the \(x\) coordinate:
\[ \frac{7 - 9}{2} = \frac{-2}{2} = -1 \]
Calculating the \(y\) coordinate:
\[ \frac{-4 + 5}{2} = \frac{1}{2} \]
Thus, the midpoint is:
\[ \left(-1, \frac{1}{2}\right) \]
This corresponds to \(( -1, 1/2 )\). It looks like the closest answer from your options is:
\(( -1, 12 )\)
However, this seems incorrect based on the correct calculation. The correct midpoint between A and B is actually:
(-1, 1/2), if that was an option, otherwise none of the provided options are correct for the midpoint.