document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=544256>Question 544256</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation of the line that is parallel to the given line<BR>\n" );
document.write( "    y = x + 3 and the given point (5,0).\r<BR>\n" );
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document.write( "Write an equation of the line that is parallel to the given line<BR>\n" );
document.write( "    y = 2x + 3 and the given point (-4,1).<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 #355238 by </B><A HREF=/tutors/aboutme.mpl?userid=SwiftAlbatross><B>SwiftAlbatross(13)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=SwiftAlbatross><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=SwiftAlbatross><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=355238\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = x + 3 has a slope of 1 since the coefficient in front of x is 1. Therefore, the parallel line also has a slope of 1. Knowing this, we just need to find the y-intercept to put the parallel line in the form y = mx + b. Since we know the slope and we have the x and y coordinates of the given point which the line passes through, let us plug these into the y = mx + b equation to find the unknown y-intercept, b. So,\r<BR>\n" );
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document.write( "y = mx + b<BR>\n" );
document.write( "0 = 1*5 + b<BR>\n" );
document.write( "0 = 5 + b<BR>\n" );
document.write( "-5 = -5<BR>\n" );
document.write( "-5 = b\r<BR>\n" );
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document.write( "So the equation of the parallel line is y = x - 5. The other problem is very similar to this. I will just do the math.<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "1 = 2*-4 + b<BR>\n" );
document.write( "1 = -8 + b<BR>\n" );
document.write( "+8 = +8<BR>\n" );
document.write( "9 = b\r<BR>\n" );
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document.write( "y = 2x + 9 </SPAN>\n" );
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