The midpoint of the line segment between $(x,y)$ and $(-9,1)$ is $(3,-5)$. Find $(x,y)$.
Use the midpoint formula to get you started and then work from there!
The midpoint formula tells you to find the average of the x-coordinates and y-coordinates.
\((\frac{x-9}{2},\frac{y+1}{2})\) | Now that we have the expression for both the x- and y-coordinate, solve for the individual variables. | ||
| Multiply both equations by 2 to eliminate the fraction. | ||
| Subtract the constant to isolate the variable. | ||
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\((15,-11)\) | This is the coordinate. | ||
Use the midpoint formula to get you started and then work from there!
The midpoint formula tells you to find the average of the x-coordinates and y-coordinates.
\((\frac{x-9}{2},\frac{y+1}{2})\) | Now that we have the expression for both the x- and y-coordinate, solve for the individual variables. | ||
| Multiply both equations by 2 to eliminate the fraction. | ||
| Subtract the constant to isolate the variable. | ||
| |||
\((15,-11)\) | This is the coordinate. | ||