document.write( "Question 115008: Are the following lines parallel, perpendicular, or neither?
\n" ); document.write( "L1 with equation x-2y+10
\n" ); document.write( "L2 with equation 2x+y=2 \n" ); document.write( "

Algebra.Com's Answer #83719 by Fombitz(32388) $\"\"$ $\"About$

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Parallel lines have the same slope.
\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals of each other.
\n" ); document.write( "Put both equations into the slope intercept form.
\n" ); document.write( "Small problem, L1 is not an equation, there is no equal sign.
\n" ); document.write( "I'll assume you meant like this.
\n" ); document.write( "L1 : $\"x-2y=10\"$
\n" ); document.write( "L2 : $\"2x%2By=2\"$
\n" ); document.write( "The answer will be the same since the constant has no effect on slope.
\n" ); document.write( "For line 1,
\n" ); document.write( "L1: $\"x-2y=10\"$
\n" ); document.write( " $\"-2y=10-x\"$
\n" ); document.write( " $\"y=-5%2Bx%2F2\"$
\n" ); document.write( " $\"y=x%2F2-5\"$
\n" ); document.write( " $\"m%5B1%5D=1%2F2\"$
\n" ); document.write( "For line 2,
\n" ); document.write( "L2 : $\"2x%2By=2\"$
\n" ); document.write( " $\"y=-2x%2B2\"$
\n" ); document.write( " $\"m%5B2%5D=-2\"$
\n" ); document.write( "Since $\"m%5B1%5D=-1%2Fm%5B2%5D\"$ , the slopes are negative reciprocals of each other.
\n" ); document.write( "The lines are perpendicular to each other.\r
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+-2x%2B2%2C+x%2F2-5%29+\"$ \n" ); document.write( "

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