document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209092>Question 209092</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x+3y=6 and passing though (-3,5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158071 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=158071\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A line perpendicular to x+3y=6 and passing though (-3,5)<BR>\n" );
document.write( "4y=-x+6<BR>\n" );
document.write( "y=-x/4+6/4<BR>\n" );
document.write( "y=-x/4+1.5 (red line)<BR>\n" );
document.write( "this line has a slope=-1/4.<BR>\n" );
document.write( "A perpendicular line has a slope=4<BR>\n" );
document.write( "Y=mX+b<BR>\n" );
document.write( "5=4*-3+b<BR>\n" );
document.write( "5=-12+b<BR>\n" );
document.write( "b=5+12<BR>\n" );
document.write( "b=17 the y intercept.<BR>\n" );
document.write( "y=4x+17 (green line) is the equation for the perpendicular line passing through (-3,5)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-20%2C+20%2C+-20%2C+20%2C+-x%2F4+%2B1.5%2C+4x+%2B17%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-20%2C+20%2C+-20%2C+20%2C+-x%2F4+%2B1.5%2C+4x+%2B17%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (graph 300x300 pixels, x from -20 to 20, y from -20 to 20, of TWO functions -x/4 +1.5 and 4x +17).  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );