document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=408018>Question 408018</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the equation of the line that passes through the point (6, -5) and is parallel to the line whose equation is 2x - 3y = 11?\r<BR>\n" );
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document.write( "1.  y + 5 = 3/2 (x-6)<BR>\n" );
document.write( "2.  y = 2/3x + 1<BR>\n" );
document.write( "3.  y = -3/2x + 4<BR>\n" );
document.write( "4.  y + 5 - 2/3(x-6) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #287493 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=287493\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I will walk you through with one. \r<BR>\n" );
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document.write( "(6, -5) and is parallel to the line whose equation is 2x - 3y = 11?\r<BR>\n" );
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document.write( "2x - 3y = 11\r<BR>\n" );
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document.write( "add 3y to both sides<BR>\n" );
document.write( "2x=11+3y<BR>\n" );
document.write( "-11<BR>\n" );
document.write( "2x-11=3y\r<BR>\n" );
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document.write( "3y=2x-11<BR>\n" );
document.write( "/3<BR>\n" );
document.write( "y= (2/3)*x-11/3\r<BR>\n" );
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document.write( "slope m = 2/3<BR>\n" );
document.write( "The parallel line will have the same slope as that of the given line. \r<BR>\n" );
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document.write( "so slope of the required line will be 2/3<BR>\n" );
document.write( ".. <BR>\n" );
document.write( "line passes through (6,-5)<BR>\n" );
document.write( "plug the value of slope , and the point (6,-5) to find b the y intercept<BR>\n" );
document.write( "of the required line\r<BR>\n" );
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document.write( "y=mx+b<BR>\n" );
document.write( "-5=2/3 *6+b<BR>\n" );
document.write( "-5=4+b<BR>\n" );
document.write( "b=-9<BR>\n" );
document.write( "...<BR>\n" );
document.write( "so the equation has slope 2/3 and y intercept -9<BR>\n" );
document.write( "y=(2/3)x-9\r<BR>\n" );
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document.write( "...<BR>\n" );
document.write( "CHECK<BR>\n" );
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