document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=625474>Question 625474</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the perpendicular line to each of the following that passes through the point indicated.    y=2/3x+8 passing through the point (-1/2,3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #393615 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=393615\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the perpendicular line to each of the following that passes through the point indicated. y=2x/3+8 passing through the point (-1/2,3).<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Equation for straight line: y=mx+b, m=slope, b=y-intercept<BR>\n" );
document.write( "y=2x/3+8<BR>\n" );
document.write( "m=2/3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "slope of perpendicular line=-3/2 (negative reciprocal)<BR>\n" );
document.write( "equation:y=-3x/2+b<BR>\n" );
document.write( "solve for b using coordinates of given point, (-1/2,3)<BR>\n" );
document.write( "3=-3*(-1/2)/2+b<BR>\n" );
document.write( "b=3-3/4=9/4<BR>\n" );
document.write( "equation of perpendicular line: y=-3x/2+9/4<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );