SOLUTION: find the point of the y-axis that is equidistant from A(-4,-2) A(3,1). Thank you

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Question 1121471: find the point of the y-axis that is equidistant from A(-4,-2) A(3,1). Thank you
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the point on the y-axis ( 0, y )
Use length formulas
+%28+-4+-+0+%29%5E2+%2B+%28+-2+-+y+%29%5E2+=+%28+3+-+0+%29%5E2+%2B+%28+1+-+y+%29%5E2+
+16+%2B+4+%2B+4y+%2B+y%5E2+=+9+%2B+1+-+2y+%2B+y%5E2+
+y%5E2+%2B+4y+%2B+20+=+y%5E2+-+2y+%2B+10+
+4y+%2B+20+=+-2y+%2B+10+
+6y+=+-10+
+y+=+-5%2F3+
The point is ( 0, -5/3 )
Check the math