Question

Find the midpoint
(4,2)(7,-2)

Answer 1

To find the midpoint of the two points \((4, 2)\) and \((7, -2)\), you can use the midpoint formula:

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

Where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.

Substituting the values:

\[
x_1 = 4, \, y_1 = 2, \, x_2 = 7, \, y_2 = -2
\]

Now plug these into the formula:

\[
\text{Midpoint} = \left( \frac{4 + 7}{2}, \frac{2 + (-2)}{2} \right)
\]

Calculating the \(x\) and \(y\) components:

\[
\text{Midpoint} = \left( \frac{11}{2}, \frac{0}{2} \right)
\]

This simplifies to:

\[
\text{Midpoint} = \left( 5.5, 0 \right)
\]

So, the midpoint of the points \((4, 2)\) and \((7, -2)\) is \((5.5, 0)\).