a line segment has the endpoints T(6,0) and U(9,-4) find the coordinates of its midpoint M

Question

write the coordinates as decimals or integers
M=

Answer 1

To find the midpoint \( M \) of a line segment with endpoints \( T(6, 0) \) and \( U(9, -4) \), we can use the midpoint formula:

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

Here, \( (x_1, y_1) = (6, 0) \) for point \( T \) and \( (x_2, y_2) = (9, -4) \) for point \( U \).

Substituting the coordinates into the formula:

\[ M = \left( \frac{6 + 9}{2}, \frac{0 - 4}{2} \right) \]

Calculating each component:

\[ M = \left( \frac{15}{2}, \frac{-4}{2} \right) \] \[ M = \left( 7.5, -2 \right) \]

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

\[ M = (7.5, -2) \]