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)
Responses

(8, 12)
(8, 12)

(−1, 92)
(−1, 92)

(−1,12)
open paren negative 1 comma 1 half close paren

(8, 92)

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 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.