document.write( "Question 904234: Find the value of k so that the line containing the points (-3,6) and (4,k) is perpendicular to the line containing the points (-9,-4) and (4,-1). \n" ); document.write( "
Algebra.Com's Answer #548701 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
the slopes of the two lines will have -1 as their product
\n" ); document.write( "-9,-4,4,-1
\n" ); document.write( "slope 3/13
\n" ); document.write( "perpendicular slope -13/3
\n" ); document.write( "-3,6,4,k
\n" ); document.write( "x-3-4=-7
\n" ); document.write( "6-k\r
\n" ); document.write( "\n" ); document.write( "(6-k)/-7=-13/3
\n" ); document.write( "3*(6-k)=13*7
\n" ); document.write( "18-3k=91
\n" ); document.write( "-3k=109
\n" ); document.write( "k=-109/3
\n" ); document.write( "
\n" ); document.write( "
\n" );