document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=905252>Question 905252</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line that is perpendicular to the line -x+3y=-1 and goes through the point (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 #549131 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=549131\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line that is perpendicular to the line -x+3y=-1 and goes through the point (4,-2)<BR>\n" );
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document.write( "Standard form of equation for a line: y=mx+b, m=slope, b=y-intercept<BR>\n" );
document.write( "-x+3y=-1<BR>\n" );
document.write( "3y=x-1<BR>\n" );
document.write( "y=x/3-1/3<BR>\n" );
document.write( "slope=1/3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "slope of perpendicular line=-3 (negative reciprocal)<BR>\n" );
document.write( "equation: y=-3x+b<BR>\n" );
document.write( "solve for b using coordinates of given point (4,-2) on the line<BR>\n" );
document.write( "-2=-3*4+b<BR>\n" );
document.write( "b=10<BR>\n" );
document.write( "equation: y=-3x+10 </SPAN>\n" );
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