document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=574731>Question 574731</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the slope of the line of the equation y+3x=6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #369260 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=369260\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There is a conventional form for a linear equation called the slope-intercept form. The form of this equation is:<BR>\n" );
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document.write( "y = m*x + b<BR>\n" );
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document.write( "and in this equation the m which is the multiplier of x is the slope of the line that is the graph of the equation. And the b is a constant that is the value on the y-axis where the line graph crosses the y-axis.<BR>\n" );
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document.write( "So let's start with the given equation y + 3x = 6 and see if we can't get it into the same form as the slope-intercept form. We do this as follows:<BR>\n" );
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document.write( "Start with the given equation:<BR>\n" );
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document.write( "y + 3*x = 6<BR>\n" );
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document.write( "Move the +3*x to the right side by subtracting 3*x from (or adding negative 3*x to) both sides:<BR>\n" );
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document.write( "y + 3*x - 3*x = -3*x + 6<BR>\n" );
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document.write( "On the left side the 3*x and the -3*x cancel each other and we are left with:<BR>\n" );
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document.write( "y = -3*x + 6<BR>\n" );
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document.write( "If you compare this with the slope-intercept form you can now see that the multiplier of the x is -3, and since the multiplier of the x is the slope, we then know that the slope of the line graph is -3. And in addition, we know that the line graph crosses the y-axis where y equals +6.<BR>\n" );
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document.write( "Hope this helps you to understand this problem a little better. The slope-intercept form of the equation is a very useful form to work with in graphing.<BR>\n" );
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