ST has endpoints at S(18,0) and T(20,14) find the endpoints M of ST

Write the coordinates as decimals and integers
M=

1 answer

To find the midpoint \( M \) of the line segment \( ST \) with endpoints \( S(18, 0) \) and \( T(20, 14) \), you 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 given coordinates:

\[ M = \left( \frac{18 + 20}{2}, \frac{0 + 14}{2} \right) \]

Calculating the x-coordinate:

\[ \frac{18 + 20}{2} = \frac{38}{2} = 19 \]

Calculating the y-coordinate:

\[ \frac{0 + 14}{2} = \frac{14}{2} = 7 \]

Thus, the coordinates of the midpoint \( M \) are:

\[ M = (19, 7) \]

In summary, the coordinates of the midpoint \( M \) are:

\[ M = (19, 7) \]