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

 Nov 22, 2017

Best Answer 

 #1
avatar+2446 
+3

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. 

 

(x92,y+12)Now that we have the expression for both the x- and y-coordinate, solve for the individual variables. 
x92=3y+12=5

 

Multiply both equations by 2 to eliminate the fraction.
x9=6y+1=10

 

Subtract the constant to isolate the variable.
x=15y=11

 

 
(15,11)This is the coordinate.
  
 Nov 22, 2017
edited by TheXSquaredFactor  Nov 22, 2017
 #1
avatar+2446 
+3
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. 

 

(x92,y+12)Now that we have the expression for both the x- and y-coordinate, solve for the individual variables. 
x92=3y+12=5

 

Multiply both equations by 2 to eliminate the fraction.
x9=6y+1=10

 

Subtract the constant to isolate the variable.
x=15y=11

 

 
(15,11)This is the coordinate.
  
TheXSquaredFactor Nov 22, 2017
edited by TheXSquaredFactor  Nov 22, 2017

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