The midpoint of the line segment between $(x,y)$ and $(-9,1)$ is $(3,-5)$. Find $(x,y)$.

Guest Nov 22, 2017

#1**+2 **

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. | ||

TheXSquaredFactor
Nov 22, 2017

#1**+2 **

Best Answer

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. | ||

TheXSquaredFactor
Nov 22, 2017