document.write( "Question 322090: The angle between the lines represented by x²+3xy+2y²=0 is ? \n" ); document.write( "

Algebra.Com's Answer #230565 by Fombitz(32388) $\"\"$ $\"About$

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Factor,
\n" ); document.write( " $\"x%5E2%2B3xy%2By%5E2=%28x%2By%29%28x%2B2y%29\"$
\n" ); document.write( "First line:
\n" ); document.write( " $\"x%2By=0\"$
\n" ); document.write( " $\"y=-x\"$
\n" ); document.write( " $\"m1=-1\"$
\n" ); document.write( "Second line:
\n" ); document.write( " $\"x%2B2y=0\"$
\n" ); document.write( " $\"2y=-x\"$
\n" ); document.write( " $\"m2=-1%2F2\"$
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\n" ); document.write( " $\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C-x%2C-x%2F2%29\"$
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\n" ); document.write( "The slope of the line is equal to the tangent of the angle it makes with the x-axis (measure positive angle counterclockwise from positive x-axis).
\n" ); document.write( "Line 1: $\"tan%28alpha%29=-1\"$
\n" ); document.write( " $\"alpha=135\"$ degrees
\n" ); document.write( "Line 2: $\"tan%28beta%29=-1%2F2\"$
\n" ); document.write( " $\"beta=153.4\"$ degrees
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\n" ); document.write( " $\"beta-alpha=153.4-135=18.4\"$ degrees
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