Question 474451: Find y if the point (4,y) is equidistant from the points (-1,-1) and (1,3)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find y if the point (4,y) is equidistant from the points (-1,-1) and (1,3)
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Use distance formula to solve:
d^2=(x1-x2)^2+(y1-y2)^2
Between (4,y) and (-1,-1):
=(4-1)^2+(y-3)^2=3^2+y^2-6y+9=y^2-6y+18
Between (4,y) and (1,3):
=(4-(-1))^2+(y-(-1))^2=5^2+(y+1)^2=25+y^2+2y+1=y^2+2y+26
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equate equations:
y^2-6y+18=y^2+2y+26
8y=-8
y=-1
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Ans:
(4,-1) is equidistant from points (-1,-1) and (1,-3)
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