document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=639851>Question 639851</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write slope intercept equation for the line that passes through (-7,6) and is perpendicular to -7x+9y=-2. Please show work so I can understand how it is done 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 #402896 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=402896\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> write slope intercept equation for the line that passes through (-7,6) and is perpendicular to -7x+9y=-2.<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Standard form of equation for a line: y=mx+b, m=slope, b=y-intercept<BR>\n" );
document.write( "Lines perpendicular to each other have slopes=negative reciprocals of each other's<BR>\n" );
document.write( "Rewrite first equation into standard form:<BR>\n" );
document.write( "-7x+9y=-2<BR>\n" );
document.write( "9y=7x-2<BR>\n" );
document.write( "y=7x/9-2/9<BR>\n" );
document.write( "slope=7/9<BR>\n" );
document.write( "negative reciprocal of this slope=-9/7<BR>\n" );
document.write( "..<BR>\n" );
document.write( "equation of 2nd line<BR>\n" );
document.write( "y=-9x/7+b<BR>\n" );
document.write( "solve for b using coordinates of given point (-7,6)<BR>\n" );
document.write( "6=-9*-7/7+b<BR>\n" );
document.write( "6=9+b<BR>\n" );
document.write( "b=-3<BR>\n" );
document.write( "equation of 2nd line:<BR>\n" );
document.write( "y=-9x/7-3 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );