Question

Write an equation of the locus of all points equidistant from the x axis and the y axis and whose coordinates have the opposite signs.

Answer 1

y=-x

Explanation:

Since the y-axis and x-axis are intersecting lines then you need to apply the locus of intersecting lines which would be the angle bisector and since the problem is asking for the opposite signs you need to make it -x instead of x.

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