document.write( "Question 58184: Are the following lines parallel, perpendicular, or neither? L1 with equation x – 5y = 10 L2 with equation 5x + y = 5 \n" ); document.write( "
Algebra.Com's Answer #39806 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
Are the following lines parallel, perpendicular, or neither? L1 with equation x – 5y = 10 L2 with equation 5x + y = 5
\n" ); document.write( ":
\n" ); document.write( "Put both equations in slope intercept form so that we can find the slope of each line. Slope intercept form is:\"highlight%28y=mx%2Bb%29\", slope=m and (0,b) is the y-intercept.
\n" ); document.write( "L1) x-5y=10
\n" ); document.write( "\"-x%2Bx-5y=-x%2B10\"
\n" ); document.write( "\"-5y=-x%2B10\"
\n" ); document.write( "\"-5y%2F-5=-x%2F-5%2B10%2F-5\"
\n" ); document.write( "\"y=%281%2F5%29x-2\" slope=m=(1/5)
\n" ); document.write( "L2)5x+y=5
\n" ); document.write( "\"-5x%2B5x%2By=-5x%2B5\"
\n" ); document.write( "\"y=-5x%2B5\" slope=m=-5 or -5/1
\n" ); document.write( ":
\n" ); document.write( "Parrallel lines have = slopes.
\n" ); document.write( "Perpendiculare lines have slope that are negative reciprocals of each other (opposite signs and upsides down.)
\n" ); document.write( "If they're neither of those it's neither.
\n" ); document.write( "\"1%2F5\" and \"-5%2F1\" are opposite signs and upside down. Therefore the lines are parallel.
\n" ); document.write( "Happy Calculating!!!
\n" ); document.write( "
\n" );