document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=792381>Question 792381</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of a line parallel to the given line but passing through the given point.<BR>\n" );
document.write( "y=-1/2x+1 (4,2)<BR>\n" );
document.write( "Then write the equation of a line perpendicular to the given line but passing through the given point.<BR>\n" );
document.write( "Y=-3x-6; (-1,5)<BR>\n" );
document.write( "*I believe I have the second part complete. I got the answer y=3x+5, but I cannot figure out the top equation to save my life. please and thank you. \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 #479944 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=479944\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation of a line parallel to the given line but passing through the given point.<BR>\n" );
document.write( "y=-1/2x+1 (4,2)\r<BR>\n" );
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document.write( "The slope of y=-1/2x+1 is m = -1/2 since the equation y=-1/2x+1  is in the form y = mx+b where m = -1/2 (slope) and b = 1 (y-intercept)\r<BR>\n" );
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document.write( "The slope of ANY line parallel to this one will also be -1/2, so m is still -1/2.\r<BR>\n" );
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document.write( "y = mx + b\r<BR>\n" );
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document.write( "y = (-1/2)x + b ... plug in the parallel slope\r<BR>\n" );
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document.write( "2 = (-1/2)(4) + b ... plug in the given point (4,2)\r<BR>\n" );
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document.write( "2 = (-1/2)(4/1) + b\r<BR>\n" );
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document.write( "2 = (-1*4)/(2*1) + b\r<BR>\n" );
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document.write( "2 = (-4)/(2) + b\r<BR>\n" );
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document.write( "2 = -2 + b\r<BR>\n" );
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document.write( "2 + 2 = b\r<BR>\n" );
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document.write( "4 = b\r<BR>\n" );
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document.write( "b = 4\r<BR>\n" );
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document.write( "Therefore, the slope is m = -1/2 and the y-intercept is b = 4\r<BR>\n" );
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document.write( "So y = mx+b turns into y = -1/2x + 4\r<BR>\n" );
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document.write( "The answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-expr%281%2F2%29x+%2B+4 ALIGN=MIDDLE  ALT=\"y+=+-expr%281%2F2%29x+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then write the equation of a line perpendicular to the given line but passing through the given point.<BR>\n" );
document.write( "Y=-3x-6; (-1,5)\r<BR>\n" );
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document.write( "y = -3x - 6 ----> m = -3\r<BR>\n" );
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document.write( "Given slope: m = -3\r<BR>\n" );
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document.write( "Perpendicular slope: m = 1/3 (flip the fraction and flip the sign)\r<BR>\n" );
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document.write( "y = mx + b\r<BR>\n" );
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document.write( "y = (1/3)x + b ... plug in the perpendicular slope\r<BR>\n" );
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document.write( "5 = (1/3)(-1) + b ... plug in the given point (-1,5)\r<BR>\n" );
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document.write( "5 = (1/3)(-1/1) + b\r<BR>\n" );
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document.write( "5 = (1*(-1))/(3*1) + b\r<BR>\n" );
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document.write( "5 = -1/3 + b\r<BR>\n" );
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document.write( "5+1/3 = b\r<BR>\n" );
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document.write( "15/3+1/3 = b\r<BR>\n" );
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document.write( "16/3 = b\r<BR>\n" );
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document.write( "b = 16/3\r<BR>\n" );
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document.write( "Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+expr%281%2F3%29x+%2B+16%2F3 ALIGN=MIDDLE  ALT=\"y+=+expr%281%2F3%29x+%2B+16%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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