document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=6381>Question 6381</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of line which is perpendicular to the line y = x + 1 and passes the point (1,3)\r<BR>\n" );
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document.write( "I need HELP!!!!!!  Thank you. If possible an immediate response would be greatly appreciated. Thank you again. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3425 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=3425\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Recall that perpendicular lines have slopes that are the negative reciprocal of each other.\r<BR>\n" );
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document.write( "What does this mean?\r<BR>\n" );
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document.write( "Well...if you know the slope of a line, then you automatically know the slope of all lines that are perpendicular to it.  For example:  If the slope of a line is m = (-3/5), then the slope of the perpendicular would be the negative reciprocal of (-3/5) which is +5/3\r<BR>\n" );
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document.write( "So, the given line has the slope, m = 1.\r<BR>\n" );
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document.write( "How do you know this?  The given equation is in the slope-intercept form:<BR>\n" );
document.write( " y = mx + b Compare this with:<BR>\n" );
document.write( " y =  x + 1 and you'll see that m (the slope) is 1.\r<BR>\n" );
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document.write( "Now your problem doesn't state which form of the equation is required so you could use the slope-intercept form or the point-slope form. <BR>\n" );
document.write( "The point-slope form looks like this: y - y1 = m(x - x1) and this would be easier to write since you have all of the required information at hand and no calculations are necessary.  The x1 and y1 are just the x and y values of the given point (1, 3)\r<BR>\n" );
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document.write( "Now, what is the slope of the new line?  It's just the negative reciprocal of 1 which is -1.\r<BR>\n" );
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document.write( "Now we can write the equation of the line (in the point-slope form) that is perpendicular to given line (y = x + 1) and which passes through the given point (1, 3).\r<BR>\n" );
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document.write( "y - 3 = -1(x - 1)  </SPAN>\n" );
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