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## Homework Statement

Describe the locus algebraically. Then graph the locus and describe the locus geometrically. Prove that the locus is the perpendicular bisector of the line joining the two points.

Locus of points equidistant from (0,0) and (-6, -6)

## Homework Equations

None that I can think of

## The Attempt at a Solution

Here's what I have done so far:

Locus of points equidistant from (-3,0) and (5,0)

*Geometric description:*P(x,y) where PA= PB where A = (-3,0) and B is always isosceles.

The locus is the perpendicular bisector of line AB. This occurs because the locus crosses line AB at its midpoint.

*Algebraic description:*Confused Here :shy:

Graph:

Thx in advance