document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251793>Question 251793</A>: <I><SPAN STYLE=\"word-break: break-all;\">  what is the x intercept of the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-5x=6 ALIGN=MIDDLE  ALT=\"y-5x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183479 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=183479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, get your equation into slope-intercept form:  y = mx + b.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+5x+=+6 ALIGN=MIDDLE  ALT=\"y+-+5x+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Add 5x to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+5x+%2B+6 ALIGN=MIDDLE  ALT=\"y+=+5x+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So we immediately recognize several things.<BR>\n" );
document.write( "a. It is a linear equation (i.e., no exponents).<BR>\n" );
document.write( "b. Since it a linear equation, its graph will be straight line.<BR>\n" );
document.write( "c. The slope, m, is 5.  That means for every 1-unit change in x, there is a 5-unit change in y.<BR>\n" );
document.write( "d. The line will intercept the y-axis where x=0.  By inspection we can see that is 6, so the point is (0,6).<BR>\n" );
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document.write( "Your question is the x-intercept, which is where the line crosses the x-axis.  That means y = 0.<BR>\n" );
document.write( "So we solve the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+5x+%2B+6 ALIGN=MIDDLE  ALT=\"0+=+5x+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+%2B+6+=+0 ALIGN=MIDDLE  ALT=\"5x+%2B+6+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Subtract 6 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+=+-6 ALIGN=MIDDLE  ALT=\"5x+=+-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Divide both sides by 5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-%286%2F5%29+=+-1.2 ALIGN=MIDDLE  ALT=\"x+=+-%286%2F5%29+=+-1.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So the point will be (-1.2,0).<BR>\n" );
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document.write( "We also can graph the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Agraph%28500%2C500%2C-10%2C10%2C-10%2C10%2C5%2Ax%2B6%29%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0Agraph%28500%2C500%2C-10%2C10%2C-10%2C10%2C5%2Ax%2B6%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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