document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=835063>Question 835063</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help on this question. What is the equation of the line that passes through (–2, 4) and is perpendicular to 2x + 3y = –6?<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 #503326 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=503326\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the equation of the line that passes through (–2, 4) and is perpendicular to 2x + 3y = –6?<BR>\n" );
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document.write( "1st: Find the slope of the given line:<BR>\n" );
document.write( "3y = -2x-6<BR>\n" );
document.write( "y = (-2/3)x - 2<BR>\n" );
document.write( "slope = -2/3<BR>\n" );
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document.write( "2nd: A perpendicular line must have slope = 3/2<BR>\n" );
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document.write( "Form: y = mx + b<BR>\n" );
document.write( "Substitute and solve for \"b\":<BR>\n" );
document.write( "4 = (3/2)(-2) + b<BR>\n" );
document.write( "4 = -3 + b<BR>\n" );
document.write( "b = 7<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "y = (3/2)x + 7<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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