document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=526373>Question 526373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation for the line: with y-intercept -1 and perpendicular to 3x-2y=6.<BR>\n" );
document.write( "a. 3x+2y=6<BR>\n" );
document.write( "b. 2x+3y=6<BR>\n" );
document.write( "c. 2x-3y=-3<BR>\n" );
document.write( "d. 2x-3y=3<BR>\n" );
document.write( "e. 2x+3y=-3  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348467 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=348467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation for the line: with y-intercept -1 and perpendicular to 3x-2y=6.<BR>\n" );
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document.write( "y = mx + b<BR>\n" );
document.write( "y = mx -1 will have a y-intercept of (0,-1)<BR>\n" );
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document.write( "Get 3x -2y = 6 into slope-intercept form.<BR>\n" );
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document.write( "3x -2y = 6<BR>\n" );
document.write( "-2y = -3x +6<BR>\n" );
document.write( "y = 3/2*x +3<BR>\n" );
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document.write( "The line perpendicular to this line will have a slope that is the inverse reciprocal of m = 3/2<BR>\n" );
document.write( "which is -2/3 and b = -1.<BR>\n" );
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document.write( "y = -2/3*x -1<BR>\n" );
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document.write( "y-intercept = (0,-1)<BR>\n" );
document.write( "x-intercept = the point where y  = 0.  So set y=0 and solve for x.<BR>\n" );
document.write( "0 = -2/3*x -1<BR>\n" );
document.write( "2/3*x = -1<BR>\n" );
document.write( "2x = -3<BR>\n" );
document.write( "x = -3/2<BR>\n" );
document.write( "(-3/2, 0)<BR>\n" );
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document.write( "In the following graph:<BR>\n" );
document.write( "the red line is y = 3/2*x +3<BR>\n" );
document.write( "the green line is y = -2/3*x -1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28500%2C500%2C-5%2C5%2C-5%2C5%2C3%2F2%2Ax%2B3%2C-2%2F3%2Ax-1%29+ ALIGN=MIDDLE  ALT=\"+graph%28500%2C500%2C-5%2C5%2C-5%2C5%2C3%2F2%2Ax%2B3%2C-2%2F3%2Ax-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Looking back at the question, it asks for the equation in standard form.<BR>\n" );
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document.write( "y = -2/3*x -1<BR>\n" );
document.write( "multiply by 3 to eliminate fraction<BR>\n" );
document.write( "3y = -2x -3<BR>\n" );
document.write( "add 2x to both sides<BR>\n" );
document.write( "2x +3y = -3<BR>\n" );
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document.write( "Done.<BR>\n" );
document.write( " </SPAN>\n" );
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