Since point $\purple{M}$ is the midpoint of points $\blue{A}$ and $\green{B}$, we can find the coordinates of point $\green{B}$ by finding the average of the coordinates of points $\blue{A}$ and $\purple{M}$.
The $x$-coordinate of point $\green{B}$ is the average of the $x$-coordinates of points $\blue{A}$ and $\purple{M}$: \[\frac{3+5}{2}=4.\]
The $y$-coordinate of point $\green{B}$ is the average of the $y$-coordinates of points $\blue{A}$ and $\purple{M}$: \[\frac{(-8)+(-2.5)}{2}=-5.25.\]
Therefore, the coordinates of point $\green{B}$ are $\boxed{(4, -5.25)}$.
Point
\[\blue{A}\] is at
\[\blue{(3, -8)}\] and point
\[\purple{M}\] is at
\[\purple{(5, -2.5)}\].
Point
\[\purple{M}\] is the midpoint of point
\[\blue{A}\] and point
\[\green{B}\].
What are the coordinates of point
\[\green{B}\]?
1 answer
1 answer