SOLUTION: Find the locus of a point P(x,y) which moves so that the point P is equidistant from the x and y axis. Hi, I was wondering if there is a way to work out this question algebraic

Question 1134117: Find the locus of a point P(x,y) which moves so that the point P is equidistant from the x and y axis.
Hi, I was wondering if there is a way to work out this question algebraically without kind of guessing the answer from a diagram?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The distance of a point from the x-axis is the absolute value of the y value; the distance of a point from the y-axis is the absolute value of the x value. So if a point is equidistant from the x-axis and y-axis, then

which is equivalent to

or

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