Question

FG has endpoints at F(7,10) and G(8,3) Find the midpoint M of FG
Write the coordinates as decimals or integers
M =

Answer 1

To find the midpoint \( M \) of the line segment \( FG \) with endpoints \( F(7, 10) \) and \( G(8, 3) \), we use the midpoint formula:

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

Substituting the coordinates of points \( F \) and \( G \):

- \( x_1 = 7 \), \( y_1 = 10 \)
- \( x_2 = 8 \), \( y_2 = 3 \)

Now we can calculate the midpoint:

\[
M\left( \frac{7 + 8}{2}, \frac{10 + 3}{2} \right) = M\left( \frac{15}{2}, \frac{13}{2} \right) = M(7.5, 6.5)
\]

Therefore, the coordinates of the midpoint \( M \) are

\[
M = (7.5, 6.5)
\]