document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=104784>Question 104784</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the slope and y-intercept of the line represented by each of the following equation.\r<BR>\n" );
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document.write( "2x-3y=6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76248 by </B><A HREF=/tutors/aboutme.mpl?userid=doukungfoo><B>doukungfoo(195)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=doukungfoo><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/cgi-bin/show-face.mpl?user=doukungfoo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=76248\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x - 3y = 6<BR>\n" );
document.write( "The equation given is in standard form. To find the slope and y intercept all we have to do is rewrite the equation in slope intercept form, which is<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "m is the slope <BR>\n" );
document.write( "and b is the y intercept<BR>\n" );
document.write( "so lets do it <BR>\n" );
document.write( "start with the orginal equation in standard form<BR>\n" );
document.write( "2x - 3y = 6<BR>\n" );
document.write( "first move the 2x over by subtracting it from both sides<BR>\n" );
document.write( "2x - 2x - 3y = -2x + 6<BR>\n" );
document.write( "The 2x's on the left side cancel out leaving<BR>\n" );
document.write( "-3y = -2x + 6<BR>\n" );
document.write( "Next isolate y by dividing -3 into both sides of the equation<BR>\n" );
document.write( "-3y/-3 = -2x/-3 + 6/-3<BR>\n" );
document.write( "y = (2/3)x - 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%282%2F3%29x-2 ALIGN=MIDDLE  ALT=\"y=%282%2F3%29x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now that the equation is in slope intercept form we can easily identify the slope and y intercept<BR>\n" );
document.write( "slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and y intercept is -2<BR>\n" );
document.write( "here is what it looks like on a graph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+%282x%2F3%29-2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+%282x%2F3%29-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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