document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=519875>Question 519875</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of a line perpendicular to 4x-3y=12 that passes through the point (2,3). \r<BR>\n" );
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document.write( "Thank you!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #346673 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=346673\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of a line perpendicular to 4x-3y=12 that passes through the point (2,3)<BR>\n" );
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document.write( "Standard form of equation for a straight line: y=mx+b, m=slope, b= y-intercept<BR>\n" );
document.write( "For given equation:<BR>\n" );
document.write( "4x-3y=12<BR>\n" );
document.write( "-3y=-4x+12<BR>\n" );
document.write( "divide by -3<BR>\n" );
document.write( "y=4x/3-3<BR>\n" );
document.write( "slope=4/3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "For line perpendicular to given equation, slope=-3/4 (negative reciprocal)<BR>\n" );
document.write( "Equation: y=-3x/4+b<BR>\n" );
document.write( "Solving for b using coordinates of given point (2,3)<BR>\n" );
document.write( "3=-3*2/4+b<BR>\n" );
document.write( "b=3+6/4=36/12+18/12=54/12=9/2<BR>\n" );
document.write( "equation: y=-3x/4+9/2 </SPAN>\n" );
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