1 maths question, please help me figure out? (1 Viewer)

[Jaguar33]

- Find the equation of the locus of point P(x,y) that moves so that it is equidistant from the x axis and the y axis.

Hi can someone please lay out the working out for this question? much appreciated

 

[Axio]

I think it would be: As the distance from x to the x axis and y to the y axis is the same, P(x,y) -> P(+ or - y,y):

 

[meggles_]

So we want the distance from the point (x,y) to be equal from both the x axis and y axis
The x axis could be represented as y=0 and y axis as x=0
Therefore:
Equating the distance from the point to the x and y axis
|x-0|=|y-0|
|x|=|y|
This means that y = +/-x
If you draw this graph, you can see why the points on the line are equidistant

 

[faisalabdul16]

Y=+-x