document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=866209>Question 866209</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the line 2x – 3y = 9 and the point (4, –1), find lines through the point that are \r<BR>\n" );
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document.write( "(a) parallel to the given line and <BR>\n" );
document.write( " (b) perpendicular to it.<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 #522124 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=522124\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the line 2x – 3y = 9 and the point (4, –1), find lines through the point that are<BR>\n" );
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document.write( "Find the slope of the give line:<BR>\n" );
document.write( "3y = 2x-9<BR>\n" );
document.write( "y = (2/3)x - 3<BR>\n" );
document.write( "slope = 2/3<BR>\n" );
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document.write( "(a) parallel to the given line<BR>\n" );
document.write( "slope must be (2/3)<BR>\n" );
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document.write( "Form:: y = mx + b<BR>\n" );
document.write( "Solve for \"b\" using the point and slope.<BR>\n" );
document.write( "-1 = (2/3)4 + b<BR>\n" );
document.write( "-3/3 = 8/3 + b<BR>\n" );
document.write( "b = -11/3<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y = (2/3)x - (11/3)<BR>\n" );
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document.write( "(b) perpendicular to it<BR>\n" );
document.write( "slope must be -3/2<BR>\n" );
document.write( "Form: y = mx + b<BR>\n" );
document.write( "Solve for \"b\" using the point and slope<BR>\n" );
document.write( "-1 = (-3/2)4 + b<BR>\n" );
document.write( "-1 = -6 = b<BR>\n" );
document.write( "b = 5<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y = (-3/2)x + 5<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "====================\r<BR>\n" );
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