document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63097>Question 63097</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line passing through the point (-1,6) and parallel to the line -2x+y=9  and B) perpendicular to the line -2x+y=9\r<BR>\n" );
document.write( "\n" );
document.write( "thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43918 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=43918\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (A) Equation of the given line is -2x + y = 9<BR>\n" );
document.write( "In the slope intercept form the above equation can be written as y = 2x + 9<BR>\n" );
document.write( "Slope of this line = 2\r<BR>\n" );
document.write( "\n" );
document.write( "So slope of any line parallel to this line = 2 as parallel lines have equal slopes.\r<BR>\n" );
document.write( "\n" );
document.write( "The required line has a slope of 2 and passes through (-1,6)\r<BR>\n" );
document.write( "\n" );
document.write( "The equation is y - 6 = 2(x - (-1))<BR>\n" );
document.write( "==>             y - 6 = 2(x+1)<BR>\n" );
document.write( "==>             y - 6 =2x + 2<BR>\n" );
document.write( "==>             y - 6 + 6 = 2x + 2 + 6<BR>\n" );
document.write( "==>             y = 2x + 8 is the required equation.\r<BR>\n" );
document.write( "\n" );
document.write( "(B)  The given line is 2x + y = 9<BR>\n" );
document.write( "THis is rewritten as y = - 2x + 9<BR>\n" );
document.write( "Slope of this line = -2\r<BR>\n" );
document.write( "\n" );
document.write( "[as product of slopes of perpendicular lines = -1]\r<BR>\n" );
document.write( "\n" );
document.write( " slope of the perpendicular line = -1/-2  <BR>\n" );
document.write( "                                  = 1/2<BR>\n" );
document.write( "The required line passes through (-1, 6)\r<BR>\n" );
document.write( "\n" );
document.write( "The required equation is y - 6 = 1/2 (x + 1)\r<BR>\n" );
document.write( "\n" );
document.write( "==> 2(y-6) = 1(x + 1)<BR>\n" );
document.write( "==> 2y - 12 = x + 1<BR>\n" );
document.write( "==> 2y - 12 - x - 1 = 0<BR>\n" );
document.write( "==> -x + 2y - 13 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Good Luck!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );