document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=215988>Question 215988</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780618608539/algebrahomeworkh>mathematical excursions</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Graph the orderer-pair solutions of y=x+1 when x= -5,-3,0,-3, and 5.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163137 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=163137\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph the ordered-pair solutions of y=x+1 when x= -5,-3,0,3, and 5. \r<BR>\n" );
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document.write( "Step 1.  The given equation y=x+1 where it is in slope-intercept form where m is the slope and the y-intercept b at (0,b).  Here m=1 and b=1.\r<BR>\n" );
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document.write( "Step 2.   Form a two-columns: one for x and the other for y\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >      <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2B1 ALIGN=MIDDLE  ALT=\"y=x%2B1\"   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=-5 ALIGN=MIDDLE  ALT=\"-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2B1=-4 ALIGN=MIDDLE  ALT=\"-5%2B1=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2B1=-2 ALIGN=MIDDLE  ALT=\"-3%2B1=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2B1=1 ALIGN=MIDDLE  ALT=\"0%2B1=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  point to evaluate slope see Step 3 where x1=0, y1=1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B1=4 ALIGN=MIDDLE  ALT=\"3%2B1=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2B1=6 ALIGN=MIDDLE  ALT=\"5%2B1=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >  point to evaluate slope see Step 3 where x2=5, y2=6\r<BR>\n" );
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document.write( "Step 3.  To verify given equation, y=mx+b=x+1, we have the slope is given as\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28y2-y1%29%2F%28x2-x1%29=%286-1%29%2F%285-0%29=5%2F5=1 ALIGN=MIDDLE  ALT=\"m=%28y2-y1%29%2F%28x2-x1%29=%286-1%29%2F%285-0%29=5%2F5=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 4.  As mentioned before, the slope-intercept point is given as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > where m is the slope and b is the y-intercept at point (0,1) or x=0 and y=b.  In our case x=0 implies b=1.\r<BR>\n" );
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document.write( "Then our equation is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb=x%2B1 ALIGN=MIDDLE  ALT=\"y=mx%2Bb=x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > as given by the problem\r<BR>\n" );
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document.write( "The graph is shown below and note that the line passes through all the points in Step 2.\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+-7%2C7%2C-7%2C7%2C+x%2B1%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C+-7%2C7%2C-7%2C7%2C+x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\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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