Question

Find the midpoint
(14,16) (7,-3)

Answer 1

To find the midpoint of the points \((14, 16)\) and \((7, -3)\), you can use the midpoint formula:

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

Here, \((x_1, y_1) = (14, 16)\) and \((x_2, y_2) = (7, -3)\).

Now, substitute the values into the formula:

\[
\text{Midpoint} = \left( \frac{14 + 7}{2}, \frac{16 + (-3)}{2} \right)
\]

Calculating the x-coordinate:

\[
\frac{14 + 7}{2} = \frac{21}{2} = 10.5
\]

Calculating the y-coordinate:

\[
\frac{16 - 3}{2} = \frac{13}{2} = 6.5
\]

So, the midpoint is:

\[
\left( 10.5, 6.5 \right)
\]