document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84707>Question 84707</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618419632/algebrahomeworkh>Intermediate Algebra </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Exercise #26 Find the equation of the line that contains the points (3,2)and is parallel to the line the 3x+y=-3.\r<BR>\n" );
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document.write( "Exercise #28    Find the equation of the line that contains the point (2,-5) and is perpendicular to the line y=5/2x-4. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61024 by </B><A HREF=/tutors/aboutme.mpl?userid=uma><B>uma(370)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=uma><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=61024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 26)given line is 3x + y = -3\r<BR>\n" );
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document.write( "==> y = - 3x - 3\r<BR>\n" );
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document.write( "This is of the form y = mx + c where m is the slope.\r<BR>\n" );
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document.write( "So slope of the given line = -3\r<BR>\n" );
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document.write( "So slope of the required line is also -3 as parallel lines have the same slope.\r<BR>\n" );
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document.write( "It passes through (3,2).\r<BR>\n" );
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document.write( "So the equation is: y - y1 = m(x - x1)\r<BR>\n" );
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document.write( "==> y - 2 = -3(x-3)\r<BR>\n" );
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document.write( "==> y-2 = -3x + 9\r<BR>\n" );
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document.write( "==> y = -3x + 9 + 2\r<BR>\n" );
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document.write( "==> y = -3x + 11 \r<BR>\n" );
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document.write( "==> 3x + y = 11\r<BR>\n" );
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document.write( "==> the equation of the line that contains the points (3,2)and is parallel to the line the 3x+y=-3 is 3x + y = 11.\r<BR>\n" );
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document.write( "27)Given line is y = 5/2x - 4\r<BR>\n" );
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document.write( "==> slope of the line is 5/2\r<BR>\n" );
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document.write( "Perpendicular lines have the product of their slopes = -1\r<BR>\n" );
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document.write( "So slope of the perpendicular to the given line is -1/(5/2)\r<BR>\n" );
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document.write( "                                                = -2/5\r<BR>\n" );
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document.write( "The line passes through (2,-5)\r<BR>\n" );
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document.write( "So the equation is: y - y1 = m(x - x1)\r<BR>\n" );
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document.write( "==> y-(-5) = (-2/5)(x-2)\r<BR>\n" );
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document.write( "==> y+5 = (-2/5)(x-2)\r<BR>\n" );
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document.write( "==> y = -2/5x + 4/5 - 5\r<BR>\n" );
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document.write( "==> y = -2/5x - 21/5\r<BR>\n" );
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document.write( "==> the equation of the line that contains the point (2,-5) and is perpendicular to the line y=5/2x-4 is y = -2/5x - 21/5\r<BR>\n" );
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document.write( "Good Luck!!!\r<BR>\n" );
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document.write( " </SPAN>\n" );
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