document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107392>Question 107392</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone please explain to me how to work this type of problem. I have tried to figure it out and keep coming up with the wrong answer.\r<BR>\n" );
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document.write( "Find the slope and y-intercept by writing the equation in slope intercept form then graph,<BR>\n" );
document.write( "-4x-3y=6<BR>\n" );
document.write( "I am totally stuck on this one Please help.<BR>\n" );
document.write( "                                    Thank You </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #78170 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=78170\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the equation:<BR>\n" );
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document.write( "-4x - 3y = 6<BR>\n" );
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document.write( "The slope-intercept form of this equation will be in the form of:<BR>\n" );
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document.write( "y = mx + b<BR>\n" );
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document.write( "and in this form, m (the multiplier of x) is the slope and b (the constant) is the y-intercept.<BR>\n" );
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document.write( "So to solve the problem you can work the given equation into the slope intercept form.<BR>\n" );
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document.write( "Begin by getting rid of the -4x on the left side. Do this by adding +4x to both sides. When<BR>\n" );
document.write( "you add +4x to the left side, it cancels the -4x and so on the left side the x-terms <BR>\n" );
document.write( "disappear. On the right side, when you add +4x, the term +4x appears. So by adding +4x to<BR>\n" );
document.write( "both sides the given equation becomes:<BR>\n" );
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document.write( "-3y = +4x + 6<BR>\n" );
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document.write( "Now solve this equation for y by dividing both sides by -3 (the multiplier of y on the<BR>\n" );
document.write( "left side. When you do this division (both sides ... all terms) the left side becomes just<BR>\n" );
document.write( "y and both terms on the right side are divided by -3.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%284%2F-3%29x+%2B+6%2F-3+=+-%284%2F3%29x+-+2 ALIGN=MIDDLE  ALT=\"y+=+%284%2F-3%29x+%2B+6%2F-3+=+-%284%2F3%29x+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Therefore the equation is reduced to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%284%2F3%29x+-+2 ALIGN=MIDDLE  ALT=\"y+=+-%284%2F3%29x+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Notice how this compares to the point-slope form. In this equation the multiplier of<BR>\n" );
document.write( "x is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%284%2F3%29 ALIGN=MIDDLE  ALT=\"-%284%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the multiplier of x is the slope.  Therefore, the slope of the graph of<BR>\n" );
document.write( "the given equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%284%2F3%29 ALIGN=MIDDLE  ALT=\"-%284%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  And the constant term on the right side ... which is -2 ...<BR>\n" );
document.write( "is the point on the y-axis where the graph crosses the y-axis.<BR>\n" );
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document.write( "You can graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%284%2F3%29x-2 ALIGN=MIDDLE  ALT=\"y+=+-%284%2F3%29x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This graph is the same as the graph of the original equation<BR>\n" );
document.write( "you were given as a problem.  The graph looks like this:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C+-%284%2F3%29x+-+2%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C+-%284%2F3%29x+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this helps you to understand the problem.<BR>\n" );
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