document.write( "Question 1074191: How do I draw the graph of |x|+|y|=5? \n" ); document.write( "

Algebra.Com's Answer #688902 by KMST(5328) $\"\"$ $\"About$

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In quadrant 1, with $\"x%3E=0\"$ and $\"y%3E=0\"$ ,
\n" ); document.write( " $\"abs%28x%29%2Babs%28y%29=5\"$ simplifies to $\"x%2By=5\"$ ,
\n" ); document.write( "which is the equation of the straight luine connecting (0,5) to (5,0) .
\n" ); document.write( "It is obvious that the graph of $\"abs%28x%29%2Babs%28y%29=5\"$
\n" ); document.write( "is symmetrical about the x-axis
\n" ); document.write( "(because replacing $\"-y\"$ for $\"y\"$ gives the same equation) .
\n" ); document.write( "It is similarly symmetrical about the y-axis for the similar reason taht
\n" ); document.write( "replacing $\"-x\"$ for $\"x\"$ yields the same eqiuation.
\n" ); document.write( "With all of the above, the conclusion is that
\n" ); document.write( "the graph is a square with corners pointing up, down, left and right.
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