document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=215993>Question 215993</A>: <I><SPAN STYLE=\"word-break: break-all;\"> graph the line y-4= -2(x+1) Please help I don't know where to begin </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163138 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=163138\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph the line y-4= -2(x+1) Please help I don't know where to begin.\r<BR>\n" );
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document.write( "Step 1.  Put the equation in slope-intercept form given as y=mx+b where m is the slope and b is the y-intercept at point (0,b) or x=0 and y=b.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-4=-2%28x%2B1%29 ALIGN=MIDDLE  ALT=\"y-4=-2%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 2.  Add 4 to both sides of the equation to get the equation in slope-intercept form.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-4%2B4=-2%28x%2B1%29%2B4 ALIGN=MIDDLE  ALT=\"y-4%2B4=-2%28x%2B1%29%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x-2%2B4 ALIGN=MIDDLE  ALT=\"y=-2x-2%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2B2 ALIGN=MIDDLE  ALT=\"y=-2x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "Note the slope m=-2 and the y-intercept b=2.  (see graph on last step)\r<BR>\n" );
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document.write( "Step 3.  Now, it takes two points to draw a line.  Say we pick one point is at x=0 then evaluate y and the other point is y=0 and find x.  These points are relatively easy to find when compared to other points on the line.\r<BR>\n" );
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document.write( "Step 4.  Find y when x=0\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2B2=-2%2A0%2B2=2 ALIGN=MIDDLE  ALT=\"y=-2x%2B2=-2%2A0%2B2=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So at x=0, then y=2  or we have point (0,2) as one point.\r<BR>\n" );
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document.write( "Step 5.  Find x when y=0\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-2x%2B2 ALIGN=MIDDLE  ALT=\"0=-2x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add 2x to both sides of the equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2B2x=-2x%2B2%2B2x ALIGN=MIDDLE  ALT=\"0%2B2x=-2x%2B2%2B2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=2 ALIGN=MIDDLE  ALT=\"2x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide 2 to both sides of the equation to get x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2F2=2%2F2 ALIGN=MIDDLE  ALT=\"2x%2F2=2%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we have the other point at (1,0)\r<BR>\n" );
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document.write( "Step 6.  Use the two points (0,2) and (1,0), to plot the graph below\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+5%2C+-2x%2B2%29+ ALIGN=MIDDLE  ALT=\"graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+5%2C+-2x%2B2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note the slope m=-2 and the y-intercept b=2=y at x=0 and it passes through the points (0,2) and (1,0).\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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