document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=761679>Question 761679</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation for the line that is parallel to the given line and passes through the given point. y = x + 8; (2, 16)<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 #463409 by </B><A HREF=/tutors/aboutme.mpl?userid=ramkikk66><B>ramkikk66(644)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ramkikk66><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=463409\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given line y = x + 8.\r<BR>\n" );
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document.write( "Principle 1: Any line expressed in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+m%2Ax+%2B+c ALIGN=MIDDLE  ALT=\"y+=+m%2Ax+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" > has slope = m.\r<BR>\n" );
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document.write( "It has the y intercept (the point where it intersects the y axis as c.\r<BR>\n" );
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document.write( "(The more general form of a linear equation is ax + by = c, which can also be converted to the y = mx + c form.)\r<BR>\n" );
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document.write( "Principle 2: Lines parallel to each other have the same slope\r<BR>\n" );
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document.write( "Here the given line is already in the form y = mx + c\r<BR>\n" );
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document.write( "y = x + 8.\r<BR>\n" );
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document.write( "Slope of the given line = 1.\r<BR>\n" );
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document.write( "The parallel line also has slope 1 and passes through (2,16).\r<BR>\n" );
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document.write( "How can we express the second line also  as y = mx + c?\r<BR>\n" );
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document.write( "m is the slope and c is the y intercept\r<BR>\n" );
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document.write( "We know m (which is 1), and we know one instance of x,y i.e. (2,16). We do not know the y intercept c.\r<BR>\n" );
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document.write( "Substituting for one value of x, y and m, we can find c.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16+=+2%2A1+%2B+c ALIGN=MIDDLE  ALT=\"16+=+2%2A1+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+14 ALIGN=MIDDLE  ALT=\"c+=+14\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So, the equation to the second line is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x+%2B+14 ALIGN=MIDDLE  ALT=\"y+=+x+%2B+14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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