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.
(x−92,y+12) | 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.
(x−92,y+12) | 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. | ||