document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=116283>Question 116283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me with these questions? I did not get this out of a book, it was a handout. The question is: Find the x  and  y intercepts and then graph <BR>\n" );
document.write( " x-y=2 , -x+4y=4  and y = -4x -4. I do not fully understand the question.<BR>\n" );
document.write( "Any help on this is greatly appreciated. Can you explain it step by step, not leaving anything out , please.\r<BR>\n" );
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document.write( "Thankyou<BR>\n" );
document.write( "Laurie </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #84588 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=84588\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Laurie ---<BR>\n" );
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document.write( "You probably can just about do these problems in your head once you understand what is going on. <BR>\n" );
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document.write( "Begin by thinking about the coordinate system of axes. A point on the y-axis must have a corresponding<BR>\n" );
document.write( "x value of zero. For example, what is the coordinate pair that corresponds to the point +5<BR>\n" );
document.write( "on the y-axis. The pair is (0, +5). That means that for a given linear function if you set x <BR>\n" );
document.write( "equal to zero, y will equal the intercept value on the y-axis. <BR>\n" );
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document.write( "Similarly, any point on the x-axis will have zero for its y value. Example, the point (-3, 0) <BR>\n" );
document.write( "is on the x-axis. So if you set y equal to zero in the given function, the corresponding<BR>\n" );
document.write( "value of x will be on the x-axis.<BR>\n" );
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document.write( "Think about that until you understand the basic concept. Now let's do the problems.<BR>\n" );
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document.write( "Given: x - y = 2<BR>\n" );
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document.write( "If x is zero and you solve for y you get -y = 2 which becomes y = -2. So the point (0, -2) is<BR>\n" );
document.write( "the y-intercept. Then if y is zero the function becomes x = +2. So the point (2, 0) on the x-axis<BR>\n" );
document.write( "is the x-intercept. <BR>\n" );
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document.write( "You can get the graph for each of these three problems by plotting the intercepts<BR>\n" );
document.write( "on the x and y axes and drawing a straight line extending through them. The graph for the<BR>\n" );
document.write( "first function ... x - y = 2 ... is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28200%2C+200%2C+-+5%2C+5%2C+-5%2C5%2C+x+-+2%29 ALIGN=MIDDLE  ALT=\"graph%28200%2C+200%2C+-+5%2C+5%2C+-5%2C5%2C+x+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "and this shows the intercept points that we found.<BR>\n" );
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document.write( "Next problem ... given -x + 4y = 4<BR>\n" );
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document.write( "Find the y-intercept by setting x equal to zero and you get 4y = 4. Solve for y by dividing<BR>\n" );
document.write( "both sides by 4 to get y = 1. So the graph crosses the y-axis at +1. <BR>\n" );
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document.write( "Next, find the x-intercept by setting y = 0 and you get -x = 4 which becomes x = -4. So the <BR>\n" );
document.write( "graph crosses the x-axis at -4. The graph of -x + 4y = 4 shows these values with the graphed<BR>\n" );
document.write( "line running through them:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28200%2C+200%2C+-+5%2C+5%2C+-5%2C5%2C+%28x%2B4%29%2F4%29 ALIGN=MIDDLE  ALT=\"graph%28200%2C+200%2C+-+5%2C+5%2C+-5%2C5%2C+%28x%2B4%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Final problem. Given: y = -4x -4<BR>\n" );
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document.write( "Set x equal to zero and the function becomes y = -4. So the y-intercept is -4. <BR>\n" );
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document.write( "Then set y = 0 and you get 0 = -4x - 4. Add 4 to both sides and you have 4 = -4x. <BR>\n" );
document.write( "Divide both sides by -4 and you have -1 = x. So the x-intercept is at -1.<BR>\n" );
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document.write( "The graph is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28200%2C+200%2C+-+5%2C+5%2C+-5%2C5%2C+-4x+-4%29 ALIGN=MIDDLE  ALT=\"graph%28200%2C+200%2C+-+5%2C+5%2C+-5%2C5%2C+-4x+-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and it shows the intercepts we found.  <BR>\n" );
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document.write( "Hope this helps you to understand the problems and how to solve them.<BR>\n" );
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document.write( "Bucky </SPAN>\n" );
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