document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328523>Question 328523</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write the equation of the line that is parallel to the line y=-3x+1 and passes through the point (4,2)\r<BR>\n" );
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document.write( "the answer i got is 3x+y=14<BR>\n" );
document.write( "i want to know if this is right </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235306 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=235306\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the perpendicular line, I have to find the perpendicular slope.\r<BR>\n" );
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document.write( "Look at your equation.  Do you see -3 next to x? This is the slope of the given equation. \r<BR>\n" );
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document.write( "However, the line we are searching must have a slope that is the negative reciprocal of -3.  What is the negative reciprocal of -3?\r<BR>\n" );
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document.write( "In other words, what fraction when multiplied by -3 will produce -1?\r<BR>\n" );
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document.write( "The negative reciprocal slope of the equation we want to find is 1/3 because -3 times 1/3 = -1.  \r<BR>\n" );
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document.write( "We now use the given point (4,2) and 1/3 in the point-slope formula.\r<BR>\n" );
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document.write( "y - y1 = m(x - x1)...his is the point-slope formula.\r<BR>\n" );
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document.write( "y - 2 = 1/3(x - 4)\r<BR>\n" );
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document.write( "y - 2 = (1/3)x - 4/3\r<BR>\n" );
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document.write( "y = (1/3)x - 4/3 + 2\r<BR>\n" );
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document.write( "y = (1/3)x + 2/3\r<BR>\n" );
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document.write( "Done!\r<BR>\n" );
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document.write( "NOTE: The equation y = (1/3)x + 2/3 can also be written as y = (x + 2)/3.  They both mean the same thing. </SPAN>\n" );
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