Question

calculate the midpoint of points (-1,2) and (4,-2)

Answer 1

To calculate the midpoint of two points \((x_1, y_1)\) and \((x_2, y_2)\), you can use the midpoint formula:

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

Given the points \((-1, 2)\) and \((4, -2)\):

- \(x_1 = -1\)
- \(y_1 = 2\)
- \(x_2 = 4\)
- \(y_2 = -2\)

Now, plug these values into the formula:

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

Calculating the x-coordinate:

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

Calculating the y-coordinate:

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

Therefore, the midpoint of the points \((-1, 2)\) and \((4, -2)\) is:

\[
\boxed{(1.5, 0)}
\]