document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=880335>Question 880335</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't understand how to do this equation. The equation question is \"write an equation of the line through the point (4,-2) that is parallel to the line -5x+6y=-2?\" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #531378 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=531378\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The line containing (4,-2) and parallel to -5x+6y=-2 will have the same slope but a different constant.\r<BR>\n" );
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document.write( "Assuming you do not understand Standard Form, convert the given equation into slope-intercept form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6y=5x%2B%28-2%29 ALIGN=MIDDLE  ALT=\"6y=5x%2B%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%285%2F6%29x-2%2F6 ALIGN=MIDDLE  ALT=\"y=%285%2F6%29x-2%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%285%2F6%29x-1%2F3 ALIGN=MIDDLE  ALT=\"y=%285%2F6%29x-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "... and the slope you want is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28highlight_green%285%2F6%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28highlight_green%285%2F6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Let us put that back into the equation we want to find, and change back from slope-intercept form to standard form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%285%2F6%29x%2Bb ALIGN=MIDDLE  ALT=\"y=%285%2F6%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >, because at this point we do not know the y-intercept<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%285%2F6%29x=b ALIGN=MIDDLE  ALT=\"y-%285%2F6%29x=b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%285%2F6%29x%2By=b ALIGN=MIDDLE  ALT=\"-%285%2F6%29x%2By=b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%2B6y=6b ALIGN=MIDDLE  ALT=\"-5x%2B6y=6b\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "This is back into standard form, but we want to know what is the value of 6b.\r<BR>\n" );
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document.write( "Substitute the point which is supposed to be contained on this line, the given point (4,-2) and compute 6b.  You do not need to solve for b here; you only want the value of 6b as the combined constant.  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%284%29%2B6%28-2%29=6b ALIGN=MIDDLE  ALT=\"-5%284%29%2B6%28-2%29=6b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-20-12=6b ALIGN=MIDDLE  ALT=\"-20-12=6b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%286b=-32%29 ALIGN=MIDDLE  ALT=\"highlight_green%286b=-32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The use of \"b\" is for the y-intercept in the slope-intercept equation form.  In this specific problem example, we need 6b for the standard form equation.<BR>\n" );
document.write( "Finally our wanted equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-5x%2B6y=-32%29 ALIGN=MIDDLE  ALT=\"highlight%28-5x%2B6y=-32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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