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Question 753341: write an equation for a graph that is the set of all points in the plane that are equidistant from the given point and the given line.
F(-3,0), x=3
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! write an equation for a graph that is the set of all points in the plane that are equidistant from the given point and the given line.
F(-3,0), x=3
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Every point on the line x = 3 has form (3,y)
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Equation:
Let the points equidistant from (-3,0) and (3,y) be (x,y)
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distance = distance
(x+3)^2 + y^2 = (x-3)^2
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x^2 + 6x + 9 + y^2 = x^2 - 6x + 9
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6x + y^2 = -6x
12x = -y^2
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x = (-1/12)y^2
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