document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=10277>Question 10277</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line that passes through (–3, 1) and is perpendicular to y = (1/2)x + 4.  Write answer in slope–intercept form.<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 #5462 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=5462\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The slope of the line y = (1/2)x + 4 is m=1/2.  The slope of a line perpendicular to this line is the negative reciprocal of 1/2, which is -2.\r<BR>\n" );
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document.write( "So, you need a line in the form y = mx + b, that passes through (-3,1) with a slope m= -2.  Write the equaition y = mx+b, and substitute m=-2, x=-3, and y=1, and solve for b.\r<BR>\n" );
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document.write( "y=mx+b<BR>\n" );
document.write( "1=(-2)(-3) + b<BR>\n" );
document.write( "1=6 + b<BR>\n" );
document.write( "b= -5\r<BR>\n" );
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document.write( "The equation is y=-2x-5\r<BR>\n" );
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document.write( "Check:  write<BR>\n" );
document.write( "y=mx+b<BR>\n" );
document.write( "1=-2(-3) - 5<BR>\n" );
document.write( "1=6-5\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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