Question

Find the midpoint, M, of AB
A=(2,1) B=(-4,7
M= (x^1+x^2/2, y^1+y^2/2)

Answer 1

To find the midpoint \( M \) of the points \( A \) and \( B \), we can use the midpoint formula:

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

Where:
- \( A = (x_1, y_1) = (2, 1) \)
- \( B = (x_2, y_2) = (-4, 7) \)

Now we can substitute these values into the formula:

1. Calculate \( x \)-coordinate of \( M \):

\[
x_M = \frac{x_1 + x_2}{2} = \frac{2 + (-4)}{2} = \frac{2 - 4}{2} = \frac{-2}{2} = -1
\]

2. Calculate \( y \)-coordinate of \( M \):

\[
y_M = \frac{y_1 + y_2}{2} = \frac{1 + 7}{2} = \frac{8}{2} = 4
\]

Thus, the midpoint \( M \) of points \( A \) and \( B \) is:

\[
M = (-1, 4)
\]