SOLUTION: find the equation of the line that is equidistant from the points (1,4) and (-3,2). Write your equation in general form.

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Question 66562This question is from textbook Advanced mathematics
: find the equation of the line that is equidistant from the points (1,4) and (-3,2). Write your equation in general form. This question is from textbook Advanced mathematics

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
FInd the equation of the line that is equidistant from the points A=(1,4) and B=(-3,2). Write your equation in general form.
LET ANY POINT 'P' ON THE LINE BE (X,Y)
PA=PB......GIVEN
PA^2=PB^2
(X-1)^2+(Y-4)^2=(X+3)^2+(Y-2)^2
X^2-2X+1+Y^2-8Y+16=X^2+6X+9+Y^2-4Y+4
6X+9-4Y+4+2X-1+8Y-16=0
8X+4Y-4=0
2X+Y-1=0