document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=88912>Question 88912</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I do this?\r<BR>\n" );
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document.write( "List and verify two intercept points (ordered pairs) that are solutions for the equation 5x – 4y = 20?<BR>\n" );
document.write( "Thank you so much </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #64631 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=64631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I presume that by \"intercept points\" your problem is asking you to find the ordered <BR>\n" );
document.write( "pairs where the graph crosses the x-axis and the y-axis.<BR>\n" );
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document.write( "Think about the y-axis. Any point on the y-axis will have zero for it's x-value.  For example,<BR>\n" );
document.write( "(0, 10), (0,0), (0,-5) are all points on the y-axis because they have zero as their x<BR>\n" );
document.write( "value.  So in this problem, the way to find the y-axis intercept is to set x equal to zero <BR>\n" );
document.write( "and then solve for the corresponding value of y.<BR>\n" );
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document.write( "Let's do it ... <BR>\n" );
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document.write( "5x - 4y = 20 <=== set x = 0<BR>\n" );
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document.write( "5(0) - 4y = 20 <=== multiply 5 times 0 and the term 5(0) disappears <BR>\n" );
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document.write( "-4y = 20 <=== divide both sides by -4 to solve for y<BR>\n" );
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document.write( "y = 20/(-4) = -5<BR>\n" );
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document.write( "So the y intercept for this problem is (0, -5). The graph crosses the the y-axis at a value<BR>\n" );
document.write( "of -5.<BR>\n" );
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document.write( "Now let's find where the graph crosses the x-axis.  Any value on the x-axis has a y value <BR>\n" );
document.write( "of zero. For example, (-6,0), (0,0), and (8,0) are all points on the x-axis. All you need<BR>\n" );
document.write( "to do is to set y equal to 0 in the equation of this problem to find the corresponding<BR>\n" );
document.write( "value of x where the graph crosses the x-axis.<BR>\n" );
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document.write( "5x - 4y = 20 <=== set y = 0<BR>\n" );
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document.write( "5x - 4(0) = 20 <=== multiplying 4 times zero results in 0 so that term disappears<BR>\n" );
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document.write( "5x = 20 <=== solve for x by dividing both sides by 5<BR>\n" );
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document.write( "x = 20/5 = 4<BR>\n" );
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document.write( "Therefore, the point (4, 0) is the intercept point on the x-axis.<BR>\n" );
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document.write( "In summary, two intercept points are (0, -5) on the y-axis and (4, 0) on the x-axis.<BR>\n" );
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document.write( "The graph of this equation might help you to understand the problem, so here it is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C+%28-5x%2B20%29%2F%28-4%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C+%28-5x%2B20%29%2F%28-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this helps you to understand the problem. </SPAN>\n" );
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