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, 92)
(8, 92)

(−1, 92)
(−1, 92)

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

(8, 12)

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: \( (7, -4) \)
- Point B: \( (-9, 5) \)

Calculate the midpoint:

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:
\[
\frac{y_1 + y_2}{2} = \frac{-4 + 5}{2} = \frac{1}{2} = \frac{1}{2}
\]

So, the midpoint between points A and B is:
\[
(-1, \frac{1}{2})
\]

The correct option from the responses given is:

**(−1, 12)** (note that the y-coordinate is indicated incorrectly here as "12" instead of "1/2") but this should actually represent \((-1, 1/2)\). Please verify the response options for any discrepancies.