document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73902>Question 73902</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072549017/algebrahomeworkh>Beginning Algebra 1A</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Thanks for helping\r<BR>\n" );
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document.write( "Graph f(x) = –2x + 4. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52925 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=52925\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation as:<BR>\n" );
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document.write( "y = -2x + 4<BR>\n" );
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document.write( "This equation is in the form y = mx + b.  This form is called the slope-intercept form and this<BR>\n" );
document.write( "tells you something about the graph.  In the form, m, the multiplier of x is the slope of the<BR>\n" );
document.write( "graph.  The slope tells you that picking a point on the graph and then moving 1 unit horizontally<BR>\n" );
document.write( "to the right, how many units you must then move vertically to get back on the graph.. In <BR>\n" );
document.write( "this problem since the multiplier of x is minus 2, for every 1 unit you move to the right <BR>\n" );
document.write( "from a point on the graph you then must move down vertically 2 units to get back to the graph.  <BR>\n" );
document.write( "The minus sign is what tells you that after moving horizontally to the right you must move <BR>\n" );
document.write( "down.  If the multiplier had been +2 then after moving to the right you would have to<BR>\n" );
document.write( "move upward 2 units.<BR>\n" );
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document.write( "The letter b in the form is a constant. It tells you where the graph crosses the y-axis.<BR>\n" );
document.write( "Just by looking at the equation of this problem you can see that b is +4. So right away<BR>\n" );
document.write( "you can put a dot at +4 on the y-axis.  That is one point on the graph. Then using the<BR>\n" );
document.write( "slope properties, put your pencil on this dot. Next move your pencil 1 number to the right<BR>\n" );
document.write( "horizontally. From that place move your pencil vertically down 2 numbers. When you get there,<BR>\n" );
document.write( "mark that place with a dot.  You now have 2 dots on the line.  With a straight edge you<BR>\n" );
document.write( "can draw a line through these two dots and that is your graph.  It's always a good idea<BR>\n" );
document.write( "to get a third dot, just to make sure that all three dots line up.  If they don't form<BR>\n" );
document.write( "a straight line, something's wrong.  An easy way to get a third dot in this problem is to<BR>\n" );
document.write( "let y equal zero and then calculate x. If y equals zero then the equation becomes:<BR>\n" );
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document.write( "0 = -2x + 4<BR>\n" );
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document.write( "Add 2x to both sides to get rid of the -2x on the right side.  When you add 2x to both<BR>\n" );
document.write( "sides the equation becomes:<BR>\n" );
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document.write( "2x = +4<BR>\n" );
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document.write( "Then divide both sides by 2 and the equation becomes:<BR>\n" );
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document.write( "x = 2<BR>\n" );
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document.write( "So another point on the graph is x = 2 and y = 4 or (2,4).  Plot this point and see if <BR>\n" );
document.write( "it is in line with all the other points.<BR>\n" );
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document.write( "When you get done your graph should look like:<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-2x%2B4%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-2x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this helps you to understand graphing of slope-intercept equations. </SPAN>\n" );
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