document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=244589>Question 244589</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line that has a y-intercept of -2 and is perpendicular to the graph of 3x+6y=2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #178860 by </B><A HREF=/tutors/aboutme.mpl?userid=blwinbbbles><B>blwinbbbles(106)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=blwinbbbles><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=blwinbbbles><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=178860\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = mx + b is the linear equation\r<BR>\n" );
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document.write( "b = y intercept so in this equation b = -2\r<BR>\n" );
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document.write( "so let's solve the given equation for it's slope\r<BR>\n" );
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document.write( "3x + 6y = 2  subtract 3x from both sides<BR>\n" );
document.write( "6y = -3x + 2 divide both sides by 6<BR>\n" );
document.write( "y = -3/6(x) + 2/6  or simplified  y = -1/2(x) + 1/3\r<BR>\n" );
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document.write( "So we know the slope of the given line is -1/2....the slope of a line perpendicular to a given line is the inverse opposite sign...so the inverse opposite sign of -1/2 is + 2/1 or 2\r<BR>\n" );
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document.write( "So now we know b (the y intercept) and m (the slope) of the line:  and the equation is:\r<BR>\n" );
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document.write( "y = 2x - 2  </SPAN>\n" );
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