**Instructions:**Move point

*A*to adjust the position of the vertical line and move

*F*along the

*x*-axis as desired. Move

*C*along the line and observe what happens.

**Questions**

1. What can you say about line

*a*in relation to

*C*and

*F*?

2. Make a conjecture about segments

*PC*and

*PF*.

3.) Suppose

*P*has coordinates (

*x*,

*y*),

*F*has coordinates (2,0), and line

*d*has equation

*x*= 2, write the equation that would describe your conjecture in 2.

4.) Generalize the equation in 3 by changing the coordinates of

*F*to (

*a*,0) and line

*d*has equation

*x*= -

*d*. Find the value of

*y*.

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