Analytic geometry

Find the equation of set of all points P(x,y) that is twice as far from (-8,8) as from (-2,2).

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  1. Name your points A(-8,8) and B(-2,2)
    So you want PA = 2PB

    Use you distance between points formula:
    √( (x+8)^2 + (y-8)^2 ) = 2√( (x+2)^2 + y-2)^2 )
    square both sides

    (x+8)^2 + (y-8)^2 = 4( (x+2)^2 + y-2)^2 )

    I will leave it up to you to expand and simplify the equation

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