document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=829514>Question 829514</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the slope intercept form of the equation through (-1,3) and parallel to the line 3x-5y=6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #499917 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=499917\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Same slope, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-5y=c ALIGN=MIDDLE  ALT=\"3x-5y=c\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Use the point.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28-1%29-5%283%29=c ALIGN=MIDDLE  ALT=\"3%28-1%29-5%283%29=c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=-18 ALIGN=MIDDLE  ALT=\"c=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-5y=-18 ALIGN=MIDDLE  ALT=\"3x-5y=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "Solve for y and adjust to slope-intercept form, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "SOME CONFUSION ABOUT THE 6 IN THE ORIGINAL EQUATION:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Try it this way.<BR>\n" );
document.write( "Original equation, 3x-5y=6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5y=-3x%2B6 ALIGN=MIDDLE  ALT=\"-5y=-3x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%283%2F5%29x-6%2F5 ALIGN=MIDDLE  ALT=\"y=-%283%2F5%29x-6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%283%2F5%29 ALIGN=MIDDLE  ALT=\"-%283%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "For parallel line, you want the same slope, so you are looking for an equation, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%283%2F5%29x%2Bb ALIGN=MIDDLE  ALT=\"y=-%283%2F5%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and you \"do not yet know b\".<BR>\n" );
document.write( "Solving for b, obtain <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=y-%28-3%2F5%29x ALIGN=MIDDLE  ALT=\"b=y-%28-3%2F5%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and plug in the point to be contained:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3-%28-3%2F5%29%28-1%29 ALIGN=MIDDLE  ALT=\"b=3-%28-3%2F5%29%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3%2B%28-3%2F5%29=3-3%2F5=15%2F5-3%2F5=12%2F5 ALIGN=MIDDLE  ALT=\"b=3%2B%28-3%2F5%29=3-3%2F5=15%2F5-3%2F5=12%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "Your wanted equation is then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-%283%2F5%29x%2B12%2F5%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-%283%2F5%29x%2B12%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );