document.write( "Question 994492: Hi!
\n" ); document.write( "Find the value of k: if the line through the points (4k+3,k+1) and (k-6,-2k+3) is perpendicular to the line through the points (2,3) and (2,8).
\n" ); document.write( "

Algebra.Com's Answer #613552 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Find slope of line through (2,3) and (2,8)
\n" ); document.write( "\"+m+=+%28+8-3+%29+%2F+%28+2-2+%29+\"
\n" ); document.write( "\"+m+=+5%2F0+\"
\n" ); document.write( "The slope is infinite, in other words, the line
\n" ); document.write( "through the given points is vertical
\n" ); document.write( "----------------------------
\n" ); document.write( "Any line perpendicular to this line
\n" ); document.write( "will have slope = \"+0+\"
\n" ); document.write( "---------------------
\n" ); document.write( "That tells me that change in \"+y+=+0+\"
\n" ); document.write( "between the points on the perpendicular
\n" ); document.write( "so, I can say:
\n" ); document.write( "----------------------
\n" ); document.write( "\"+k+%2B+1+=+-2k+%2B+3+\"
\n" ); document.write( "\"+3k+=+2+\"
\n" ); document.write( "\"+k+=+2%2F3+\"
\n" ); document.write( "
\n" );