Point

Question

\[\blue{A}\] is at
\[\blue{(-7, -7)}\] and point
\[\green{B}\] is at
\[\green{(-5, 5)}\].
What is the midpoint of line segment

\[\overline{AB}\]?

Answer 1

To find the midpoint of the line segment $\overline{AB}$, we average the x-coordinates and average the y-coordinates of points $A$ and $B$.

The x-coordinate of the midpoint is $\frac{(-7) + (-5)}{2} = -6$.

The y-coordinate of the midpoint is $\frac{(-7) + 5}{2} = -1$.

Therefore, the midpoint of line segment $\overline{AB}$ is $\boxed{(-6, -1)}$.

Answer 2

Point
\[\blue{A}\] is at
\[\blue{(-7, -7)}\] and point
\[\green{B}\] is at
\[\green{(-5, 5)}\].
What is the midpoint of line segment

\[\overline{AB}\]?

Answer 3

To find the midpoint of line segment $\overline{AB}$, we can use the midpoint formula.

The midpoint formula states that the midpoint $(x_m, y_m)$ of a line segment with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given by:

\[ x_m = \frac{x_1 + x_2}{2} \]
\[ y_m = \frac{y_1 + y_2}{2} \]

In this case, the coordinates of point $A$ are $(-7, -7)$ and the coordinates of point $B$ are $(-5, 5)$.

Using the midpoint formula, we can calculate the midpoint of line segment $\overline{AB}$:

\[ x_m = \frac{-7 + (-5)}{2} = \frac{-12}{2} = -6 \]
\[ y_m = \frac{-7 + 5}{2} = \frac{-2}{2} = -1 \]

Therefore, the midpoint of line segment $\overline{AB}$ is $\boxed{(-6, -1)}$.