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

Algebra ->  Linear-equations -> 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      Log On


   



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) About Me  (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

abs%28y%29=abs%28x%29

which is equivalent to

y+=+x or y+=+-x