Question

endpoints A(-1,2) B(4, -2)
what is the midpoint

Answer 1

To find the midpoint \( M \) of the line segment connecting the endpoints \( A(-1, 2) \) and \( B(4, -2) \), you can use the midpoint formula:

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

where \( (x_1, y_1) \) are the coordinates of point \( A \) and \( (x_2, y_2) \) are the coordinates of point \( B \).

In this case:
- \( x_1 = -1 \)
- \( y_1 = 2 \)
- \( x_2 = 4 \)
- \( y_2 = -2 \)

Now plug the values into the formula:

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

Calculating the x-coordinate:

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

Calculating the y-coordinate:

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

Thus, the midpoint \( M \) is:

\[
M(1.5, 0)
\]

So the midpoint of the segment connecting points \( A \) and \( B \) is \( (1.5, 0) \).