find the relationship between x and y such that point p(x,y) is equidistant from the point A(2,-5) and B(-3,-7)
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Step-by-step explanation:
The point p is equidisat to point AandB
so PA=PB
then we should find the distance between PA and PB
PA=(x2-x1)^2+(y2-y1)^2
=(x-2)^2+(y+3)^2
=x^2-4x+4+y^2+6y+9
=x^2-4x+y^2+6y+13
PB=(x2-x1)^2+(y1-y2)^2
=(x+5)^2+(y+7)^2
=x^2+10x+25+y^2+14y+49
=x^2+10x+y^2+14y+74
Now we should equate PA and PB
after solving we get the answer
-14x-8y+61
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