document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=705650>Question 705650</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find an equation of the line through the givven point and perpendicular to the given line y=1/2x+3 and (-4,2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #434697 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=434697\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find an equation of the line through the givven point and perpendicular to the given line y=1/2x+3 and (-4,2)<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Equation of a line: y=mx+b, m=slope, b=y-intercept<BR>\n" );
document.write( "For given equation: y=1/2x+3<BR>\n" );
document.write( "m=1/2<BR>\n" );
document.write( "slope of perpendicular line=-2(negative reciprocal)<BR>\n" );
document.write( "equation:<BR>\n" );
document.write( "y=-2x+b<BR>\n" );
document.write( "solve for b using coordinates of given point (-4,2)<BR>\n" );
document.write( "2=-2*-4+b<BR>\n" );
document.write( "b=-6<BR>\n" );
document.write( "Equation of perpendicular line: <BR>\n" );
document.write( "y=-2x-6<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );