Question

ST has endpoints at S(14.7, 2.7) and T(–16.4, 4.6). Find the midpoint M of ST.

Write the coordinates as decimals or integers.

Answer 1

To find the midpoint \( M \) of the line segment \( ST \) with endpoints \( S(14.7, 2.7) \) and \( T(-16.4, 4.6) \), we can use the midpoint formula:

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

where \( (x_1, y_1) \) are the coordinates of point \( S \) and \( (x_2, y_2) \) are the coordinates of point \( T \).

Substituting in the values:

\[
M\left(\frac{14.7 + (-16.4)}{2}, \frac{2.7 + 4.6}{2}\right)
\]

Calculating the x-coordinate:

\[
\frac{14.7 - 16.4}{2} = \frac{-1.7}{2} = -0.85
\]

Calculating the y-coordinate:

\[
\frac{2.7 + 4.6}{2} = \frac{7.3}{2} = 3.65
\]

Thus, the midpoint \( M \) is:

\[
M(-0.85, 3.65)
\]

So the coordinates of the midpoint \( M \) are \( \boxed{(-0.85, 3.65)} \).