Basic Loci Help

ferrisrox

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Joined
May 4, 2006
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Hey guys,

im not sure if this is the right place for this, so mods please move it if you so desire. Anyway i have this question about determing equations for a locus of points of intersecting lines. We didn't go over this in class so i really have no idea where to start.

The question is determine an equation to represent the locus of points from each pair of lines:

y=x and y=-x

well so far i got that the mid point of the two is 0,0 and know i have to somehow use the y2-y = m(x2-x) formula to get the equation of the line. The problem i have is finding the slope of the equidistant point between the two lines. It lays on the x and y axis making the slope 0 and thus the answer y= 0. The answer in the back of the book however shows xy=0

thanks in advance
 
I usually do not give such explicit help but in this case I think it is called for.
\(\displaystyle \L
\left| y \right| = \left| x \right|\).

\(\displaystyle \L
\left\{ {(x,y):\left| y \right| = \left| x \right|} \right\} = \left\{ {x = y \vee x = - y} \right\}\)
 
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