document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248027>Question 248027</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do use the slope and y intercept to graph the following equations, y=2x-3 and y=2/3x-4. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180794 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=180794\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The slope-intercept formula is:  y = mx+b.<BR>\n" );
document.write( "The slope = m = change in y divided by change x.<BR>\n" );
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document.write( "We have an equation y = 2x -3.<BR>\n" );
document.write( "m = 2 = slope<BR>\n" );
document.write( "It means that for every change in y = 2, there is a change in x = 1.<BR>\n" );
document.write( "This extends indefinitely in both directions.  change in y = 4, means change  in x = 2.<BR>\n" );
document.write( "Etc.<BR>\n" );
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document.write( "The y-intercept = -3, so the related point is (0, -3)<BR>\n" );
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document.write( "Adding 4 to y means we add 2 to x, which produces the point (2, 1).<BR>\n" );
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document.write( "Plot these two points and draw the line connecting them.<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%2C2x-3%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C2x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The same logic applies to the second equation.<BR>\n" );
document.write( "y = 2/3x - 4.<BR>\n" );
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document.write( "When x =0, y = -4, so we have the point (0, -4)<BR>\n" );
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document.write( "The slope = 2/3, which means for every change of 2 in y, there is a change of 3 in x.<BR>\n" );
document.write( "So we can use this information to calculate a second point.<BR>\n" );
document.write( "Add 2 to y and add 3 to x:  (3, -2)<BR>\n" );
document.write( "Plot these point and draw a line.<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%2C2%2F3%2Ax+-4%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C2%2F3%2Ax+-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You can plot both on the same graph to check if they intercept one another.<BR>\n" );
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