document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=548732>Question 548732</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the slope of the following line? 3x+7y=4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #357189 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=357189\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B7y=4 ALIGN=MIDDLE  ALT=\"3x%2B7y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You are to find the slope of the graph for this equation.<BR>\n" );
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document.write( "One way of doing this is to rearrange the given equation so it is in the slope-intercept form which is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx+%2B+b ALIGN=MIDDLE  ALT=\"y+=+mx+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "When you get it into this form, m, the quantity multiplying the x term, will be the slope, and b will be the value on the y-axis where the graph crosses.<BR>\n" );
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document.write( "Start with:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B7y=4 ALIGN=MIDDLE  ALT=\"3x%2B7y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the plan is to solve for y with everything else on the right side.<BR>\n" );
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document.write( "Start by subtracting 3x from both sides. When you do that the 3x disappears on the left side and the equation becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7y+=+-3x+%2B+4 ALIGN=MIDDLE  ALT=\"7y+=+-3x+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Next solve for y by dividing both sides (all terms) by 7 to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-3%2F7%29x+%2B+4%2F7 ALIGN=MIDDLE  ALT=\"y+=+%28-3%2F7%29x+%2B+4%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This is in the slope intercept form. You can see that the multiplier of the x term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F7 ALIGN=MIDDLE  ALT=\"-3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > and that is the value of the slope. The b term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F7 ALIGN=MIDDLE  ALT=\"4%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > and that is the value on the y-axis where the graph crosses.<BR>\n" );
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document.write( "So, the slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F7 ALIGN=MIDDLE  ALT=\"-3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > and that is the answer to this problem.<BR>\n" );
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document.write( "Hope this helps you to understand this problem.<BR>\n" );
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document.write( "  </SPAN>\n" );
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