My question is:
Find the equation of the locus of a point P(x,y) that moves so that it is equidistant from the xaxis and the yaxis, please tell me step by step all the working out please :)(Hi)
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My question is:
Find the equation of the locus of a point P(x,y) that moves so that it is equidistant from the xaxis and the yaxis, please tell me step by step all the working out please :)(Hi)
Hello, moeyfrompunchy!
Did you even bother to make a sketch?
Quote:
Find the equation of the locus of a point $\displaystyle P(x,y)$
that moves so that it is equidistant from the $\displaystyle x$axis and the $\displaystyle y$axis.
Code: P
B +     *(x,y)
 x :
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 : y
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++
 A

The point is $\displaystyle P(x,y).$
Its distance from the $\displaystyle x$axis is: .$\displaystyle PA = y.$
Its distance from the $\displaystyle y$axis is: .$\displaystyle PB = x.$
We want these distances to be equal: .$\displaystyle y \:=\:x$
How hard was that?