document.write( "Question 80715: How do I find out if the following lines are perpendicular, parallel or neither?\r
\n" ); document.write( "\n" ); document.write( "L1 through (-4,-7) and(1,3)
\n" ); document.write( "L2 through (2,6) and (4,10) \n" ); document.write( "

Algebra.Com's Answer #57877 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
You can do this by finding the slopes $\"m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"$ of the two lines.
\n" ); document.write( "If the slopes are equal, the lines are parallel, if the slopes are the negative reciprocal of each other, the lines are perpendicular.
\n" ); document.write( "L1:
\n" ); document.write( " $\"m%5B1%5D+=+%283-%28-7%29%29%2F%281-%28-4%29%29\"$
\n" ); document.write( " $\"m%5B1%5D+=+%283%2B7%29%2F%281%2B4%29\"$
\n" ); document.write( " $\"m%5B1%5D+=+10%2F5\"$
\n" ); document.write( " $\"m%5B1%5D+=+2\"$
\n" ); document.write( "L2:
\n" ); document.write( " $\"m%5B2%5D+=+%2810-6%29%2F%284-2%29\"$
\n" ); document.write( " $\"m%5B2%5D+=+4%2F2\"$
\n" ); document.write( " $\"m%5B2%5D+=+2\"$ \r
\n" ); document.write( "\n" ); document.write( "As you can see, the slopes are equal so this means that the lines are parallel! \n" ); document.write( "

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