document.write( "Question 785281: Find the value of k so that the line containing the points (3,k) and (−3,4) is perpendicular to the line containing the points (−7,1) and (−1,2). \n" ); document.write( "
Algebra.Com's Answer #477496 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
The slope of the line containing the points (−7,1) and (−1,2) is
\n" ); document.write( "\"%282-1%29%2F%28-1-%28-7%29%29=1%2F%28-1%2B7%29=1%2F6\"
\n" ); document.write( "The slope of the line containing the points (3,k) and (−3,4) is
\n" ); document.write( "\"%28k-4%29%2F%283-%28-3%29%29=%28k-4%29%2F%283%2B3%29=%28k-4%29%2F6\"
\n" ); document.write( "For two lines to be perpendicular, the product of their slopes must be \"-1\".
\n" ); document.write( "\"%281%2F6%29%2A%28%28k-4%29%2F6%29=-1\"
\n" ); document.write( "\"%28k-4%29%2F36=-1\"
\n" ); document.write( "\"k-4=-36\"
\n" ); document.write( "\"k=-36%2B4\"
\n" ); document.write( "\"highlight%28k=-32%29\"
\n" ); document.write( "
\n" ); document.write( "
\n" );