document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=423677>Question 423677</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the equation of a line that passes through (-5, 1) and is parallel to y = x + 4 ?\r<BR>\n" );
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document.write( "please show steps to help me understand </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #295427 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=295427\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what is the equation of a line that passes through (-5, 1) and is parallel to y = x + 4 ?\r<BR>\n" );
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document.write( "Parallel lines have the same slope.  Therefore, we know the equation has the form y = x + b.  The only thing left to do is find the y-intercept.  The slope of a line can be determined using two points on the line: m = (y2-y1)/(x2-x1).<BR>\n" );
document.write( "Let's use the y-intercept as one of the points.  Since x=0 at the y-intercept, we have:<BR>\n" );
document.write( "m = 1 = (b-1)/(0 - -5).  Solving for b gives (b - 1) = 5 -> b = 6.  <BR>\n" );
document.write( "So our equation is y = x + 6<BR>\n" );
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