document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=285860>Question 285860</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The slope of a line whose equation is (-2/3)x+5=x+y-3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #207389 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=207389\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rearrange until you get it into slope-intercept form:  y = mx+b.<BR>\n" );
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document.write( "(-2/3)x+5=x+y-3<BR>\n" );
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document.write( "Multiply everything by 3...<BR>\n" );
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document.write( "3((-2/3)x+5)=3(x+y-3)<BR>\n" );
document.write( "-2x + 15 = 3x + 3y - 9<BR>\n" );
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document.write( "Subtract 3x from both sides...<BR>\n" );
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document.write( "-5x + 15 = 3y -9<BR>\n" );
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document.write( "Add 9 to both sides...<BR>\n" );
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document.write( "-5x + 24 = 3y<BR>\n" );
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document.write( "Divide both sides by 3...<BR>\n" );
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document.write( "(-5/3)x + 8 = y<BR>\n" );
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document.write( "y = (-5/3)x + 8<BR>\n" );
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document.write( "slope = -5/3<BR>\n" );
document.write( "y-intercept occurs where x=0, which is...<BR>\n" );
document.write( "y = (-5/3)(0) + 8 = 8<BR>\n" );
document.write( "or the point (0,8).<BR>\n" );
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document.write( "You only need two points to draw a straight line, so the x-intercept is useful.<BR>\n" );
document.write( "It occurs where y=0.<BR>\n" );
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document.write( "0 = (-5/3)x + 8<BR>\n" );
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document.write( "Multiply by 3<BR>\n" );
document.write( "0 = -5x + 24<BR>\n" );
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document.write( "Add 5x to both sides<BR>\n" );
document.write( "5x = 24<BR>\n" );
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document.write( "Divide by 5<BR>\n" );
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document.write( "x = 24/5 = 4+4/5 = 4.80<BR>\n" );
document.write( "which is the point (4.8,0)<BR>\n" );
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document.write( "You can check the graph to see...<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-5%2F3%2Ax+%2B+8%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-5%2F3%2Ax+%2B+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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