document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=229567>Question 229567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the x- and y-intercepts (if any) of the given equation. Show your work. Then plot the intercepts, and graph the line; <BR>\n" );
document.write( "2x + y = 5\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170177 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=170177\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the x- and y-intercepts (if any) of the given equation. Show your work. Then plot the intercepts, and graph the line;\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2B+y+=+5 ALIGN=MIDDLE  ALT=\"2x+%2B+y+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 1.  Intercepts means that the intersect the x or y axis.  This means that one of the coordinates is zero.  So for x=0, then the point (0,b) has b a the y-intercepts. and for y=0, then the point (a,0) has a as the x-intercept.\r<BR>\n" );
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document.write( "Step 2.  Then for x=0 in equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2B+y+=+5 ALIGN=MIDDLE  ALT=\"2x+%2B+y+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A0+%2B+y+=+5 ALIGN=MIDDLE  ALT=\"2%2A0+%2B+y+=+5\"   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=5 ALIGN=MIDDLE  ALT=\"y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So we have (0,5) as one point with b=5 as the y-intercept.\r<BR>\n" );
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document.write( "Step 3.  Then for y=0 in equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2B+y+=+5 ALIGN=MIDDLE  ALT=\"2x+%2B+y+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2B+0+=+5 ALIGN=MIDDLE  ALT=\"2x+%2B+0+=+5\"   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=5 ALIGN=MIDDLE  ALT=\"2x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide by 2 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=cross%282%29y%2Fcross%282%29=5%2F2 ALIGN=MIDDLE  ALT=\"cross%282%29y%2Fcross%282%29=5%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=y=5%2F2 ALIGN=MIDDLE  ALT=\"y=5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=5%2F2 ALIGN=MIDDLE  ALT=\"a=5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "So we have (5/2, 0) as one point with a=5/2 as the x-intercept.\r<BR>\n" );
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document.write( "Step 4.  ANSWER:   So we have (0,5) as one point with b=5 as the y-intercept and we have (5/2,0) as one point with a=5/2 as the x-intercept.\r<BR>\n" );
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document.write( "We can use these two points (0,5) and (5/2,0) to plot the graph.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C+-10%2C10%2C+-10%2C+10%2C+-2x%2B5%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C+-10%2C10%2C+-10%2C+10%2C+-2x%2B5%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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