Question

The Midpoint Formula Quick Check
Use the image to answer the question
LUSSON 4
A
2
1
(-1,2)
2100
-1
-2
123
-3-
▼
B (4,-2)
4
Next
Calculate midpoint M of segment AB
(1 point
Mis located at (15,0)
Mis located at (25,2)
Mis located at (1,0)
Ms located at (0.5, 1).

Answer 1

To calculate the midpoint \( M \) of the segment \( AB \) where point \( A \) is at \( (-1, 2) \) and point \( B \) is at \( (4, -2) \), we can use the Midpoint Formula:

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

Substituting in the coordinates of points \( A \) and \( B \):

\[
M = \left( \frac{-1 + 4}{2}, \frac{2 + (-2)}{2} \right)
\]

Calculating the x-coordinate:

\[
\frac{-1 + 4}{2} = \frac{3}{2} = 1.5
\]

Calculating the y-coordinate:

\[
\frac{2 - 2}{2} = \frac{0}{2} = 0
\]

So the midpoint \( M \) is located at:

\[
M = \left( 1.5, 0 \right)
\]

From the options given:

- Mis located at (15, 0)
- Mis located at (25, 2)
- M is located at (1, 0)
- M is located at (0.5, 1)

The correct option is not listed. However, \( M \) should be \( (1.5, 0) \). Please check if there is a typo or mistake in the provided options.