SOLUTION: Please can you help solve this problem for me. The point (x,y) is equidistant from (4,-1) and (-2,3). Express the answer in algebraic equation

Question 816643: Please can you help solve this problem for me. The point (x,y) is equidistant from (4,-1) and (-2,3). Express the answer in algebraic equation
Found 2 solutions by LinnW, Alan3354:
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
We are looking for the midpoint between the two points.
For points (x1,y1) and (x2,y2) the midpoint is
( (x1+x2)/2 , (y1+y2)/2 )
For our point values (4,-1) and (-2,3)
this becomes
( (4+(-2))/2 , (-1+3)/2 )
( 2/2 , 2/2 )
( 1 , 1 )
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Please can you help solve this problem for me. The point (x,y) is equidistant from (4,-1) and (-2,3). Express the answer in algebraic equation
---------------
There are an infinite # of points. It's the perpendicular bisector thru (1,1)
---
Find the slope of the line thru the given points.
m = diffy/diffx = 4/-6 = -2/3
The slope of lines perpendicular is the negative inverse, 3/2
-----
Find an equation of the line thru (1,1) with a slope of 3/2
Use y = mx+b and the point to find b
---
1 = (3/2)*1 + b
b = -1/2
--> y = 3x/2 - 1/2
RELATED QUESTIONS
Please can you help solve this problem for me. The point (x,y) lies on a cirle which has... (answered by LinnW)
The point (x,y) is equidistant from (0,0) and (4,-2). Express the fact by an algebraic... (answered by josgarithmetic)
I need help with this problem, will someone please help me solve this problem? The... (answered by jim_thompson5910,stanbon)
Find an equation for the set of points in an xy-plane that are equidistant from the point (answered by josgarithmetic)
I got this question on a test and i missed it its about locus of points... ther are 4 (answered by RAY100)
please i want you to help me find the equation of the locus of points equidistant from... (answered by Theo,ikleyn,greenestamps)
can you please help me answer the following ((( What is the locus of points in a plane... (answered by jim_thompson5910)
Please help me solve this problem: The measure of the supplement of an angle is 3 times... (answered by ankor@dixie-net.com)
Thanks so much for all your help . After see the problem solve i try to work on them to... (answered by stanbon)