document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=861427>Question 861427</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write an equation in standard form of the line that passes through the point P(6,-1) and is perpendicular to the line described by the equation -2x + 3y = -6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #519023 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=519023\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is how standard form equation for a line works:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%2Bby=c ALIGN=MIDDLE  ALT=\"ax%2Bby=c\"   DISABLED_style= \"max-width:90%; height:auto;\" >, standard form.<BR>\n" );
document.write( "Solve for y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=by=-ax%2Bc ALIGN=MIDDLE  ALT=\"by=-ax%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%28a%2Fb%29x%2Bc%2Fb ALIGN=MIDDLE  ALT=\"y=-%28a%2Fb%29x%2Bc%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" >, slope-intercept form.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28a%2Fb%29 ALIGN=MIDDLE  ALT=\"-%28a%2Fb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the y-intercept is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2Fb ALIGN=MIDDLE  ALT=\"c%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "What you should know about perpendicular lines:\r<BR>\n" );
document.write( "\n" );
document.write( "If two lines are perpendicular and their slopes are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D ALIGN=MIDDLE  ALT=\"m%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B2%5D ALIGN=MIDDLE  ALT=\"m%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D%2Am%5B2%5D=-1 ALIGN=MIDDLE  ALT=\"m%5B1%5D%2Am%5B2%5D=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Returning to you given equation and to find line perpendicular containing P(6,-1):\r<BR>\n" );
document.write( "\n" );
document.write( "The line perpendicular to the given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%2B3y=-6 ALIGN=MIDDLE  ALT=\"-2x%2B3y=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%283x%2B2y=c%29 ALIGN=MIDDLE  ALT=\"highlight_green%283x%2B2y=c%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and knowing that this new line must contain the point (6,-1), use those coordinates to compute c.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28c=3%2A6%2B2%28-1%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28c=3%2A6%2B2%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );