Question

find the midpoint of the segment with the given endpoints.
G (-6, -13) and H (-6.4, -3.8)

Answer 1

To find the midpoint of the segment with endpoints \( G (-6, -13) \) and \( H (-6.4, -3.8) \), you can use the midpoint formula:

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

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

Substituting in the coordinates of points \( G \) and \( H \):

\[
x_1 = -6, \quad y_1 = -13
\]
\[
x_2 = -6.4, \quad y_2 = -3.8
\]

Now, plug these values into the midpoint formula:

\[
M = \left( \frac{-6 + (-6.4)}{2}, \frac{-13 + (-3.8)}{2} \right)
\]

Calculating the x-coordinate:

\[
\frac{-6 + (-6.4)}{2} = \frac{-12.4}{2} = -6.2
\]

Calculating the y-coordinate:

\[
\frac{-13 + (-3.8)}{2} = \frac{-16.8}{2} = -8.4
\]

So the midpoint \( M \) is:

\[
M = (-6.2, -8.4)
\]

Thus, the midpoint of the segment with endpoints \( G \) and \( H \) is \( (-6.2, -8.4) \).