document.write( "Question 82860: Find the slope of any line perpendicular to the line through points (8, 9) and (4, 8) \n" ); document.write( "
Algebra.Com's Answer #59513 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
First lets find the slope of the line going through (8, 9) and (4, 8)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: Finding the slope

\n" ); document.write( "
\n" ); document.write( " Slope of the line through the points (8, 9) and (4, 8)
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"m+=+%288+-+9%29%2F%284+-+8%29\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"m+=+%28-1%29%2F%28-4%29\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"m+=+1%2F4\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Answer: Slope is \"m+=+1%2F4\"
\n" ); document.write( "
\n" ); document.write( "

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Remember, perpendicular slopes are always the negative reciprocal of each other. In other words we have\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"m%5Bp%5D=-1%2Fm\" where \"m%5Bp%5D\" is the perpendicular slope\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so plug in the slope we solved for to find the perpendicular slope:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"m%5Bp%5D=-1%2F%281%2F4%29=-%281%2F1%29%2A%284%2F1%29=4\" Plug in m=2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the perpendicular slope is \"-4\"
\n" ); document.write( "
\n" );