document.write( "Question 969250: HELP WITH ALGEBRAIC PROBLEMS!!!\r
\n" ); document.write( "\n" ); document.write( "Write the equation of a line parallel to the given line but passing through the given point.
\n" ); document.write( "y=1/4x-2;(8,-1). \r
\n" ); document.write( "\n" ); document.write( "Write the equation of a line perpendicular to the given line but passing through the given point.\r
\n" ); document.write( "\n" ); document.write( "y=-4x-5;(0,-1)\r
\n" ); document.write( "\n" ); document.write( "Can you please show the steps through out the whole process? I am not sure how to do this without coming up with different answers each time.
\n" ); document.write( "

Algebra.Com's Answer #592154 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Parallel lines have identical slopes.
\n" ); document.write( "\"m=1%2F4\"
\n" ); document.write( "Use the point-slope form with the point.
\n" ); document.write( "\"y-%28-1%29=%281%2F4%29%28x-8%29\"
\n" ); document.write( "\"y%2B1=%281%2F4%29x-2\"
\n" ); document.write( "\"y=%281%2F4%29x-3\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals.
\n" ); document.write( "\"m%5B1%5D%2Am%5B2%5D=-1\"
\n" ); document.write( "\"-4%2Am%5B2%5D=-1\"
\n" ); document.write( "\"m%5B2%5D=1%2F4\"
\n" ); document.write( "Again, point slope form,
\n" ); document.write( "\"y-%28-1%29=%281%2F4%29%28x-0%29\"
\n" ); document.write( "\"y%2B1=%281%2F4%29x\"
\n" ); document.write( "\"y=%281%2F4%29x-1\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "
\n" ); document.write( "
\n" );