document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=921821>Question 921821</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the distance between these equations and give their x and y intercepts.<BR>\n" );
document.write( "2x+3y=20<BR>\n" );
document.write( "2x+3y=30 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #559235 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=559235\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> to find the y intercept, set x = 0 and solve for y.<BR>\n" );
document.write( "2x + 3y = 20 becomes 3y = 20 which becomes y = 20/3 = 6 and 2/3<BR>\n" );
document.write( "2x + 3y = 30 becomes 3y = 30 which becomes y = 30/3 = 10\r<BR>\n" );
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document.write( "to find the x intercept, set y = 0 and solve for x.<BR>\n" );
document.write( "2x + 3y = 20 becomes 2x = 20 which becomes x = 10<BR>\n" );
document.write( "2x + 3y = 30 becomes 2x = 30 which becomes x = 15\r<BR>\n" );
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document.write( "the vertical distance between these equations is going to be 30/3 - 20/3 = 10/3 = 3 and 1/3.\r<BR>\n" );
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document.write( "to find the slope, solve each equation for y.<BR>\n" );
document.write( "2x + 3y = 20 becomes y = -2/3*x + 20/3<BR>\n" );
document.write( "2x + 3y = 30 becomes y = -2/3*x + 30/3\r<BR>\n" );
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document.write( "the slopes are the same so the graphs of the equations are parallel to each other.\r<BR>\n" );
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document.write( "the graphs of the equations looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-20%2C20%2C-20%2C20%2C-2%2F3%2Ax+%2B+20%2F3%2C+-2%2F3%2Ax+%2B+30%2F3%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-20%2C20%2C-20%2C20%2C-2%2F3%2Ax+%2B+20%2F3%2C+-2%2F3%2Ax+%2B+30%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "you can see that the y intercepts are 30/3 and 20/3 which are equivalent to 10 and 6 and 2/3.\r<BR>\n" );
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document.write( "you can see that the x-intercepts are equal to 10 and 15.\r<BR>\n" );
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document.write( "the slope of -2/3 means that the y value goes down 2 units for every 3 units that the x value goes to the right.\r<BR>\n" );
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