document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1015739>Question 1015739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let line l1 be the graph of 5x + 8y = -9. Line l2 is perpendicular to line l1 and passes through the point (10,10). If line l2 is the graph of the equation y=mx +b, then find m+b. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #632143 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=632143\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find slope of first line (slope-intercept form):<BR>\n" );
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document.write( "5x+8y=-9<BR>\n" );
document.write( "8y=-5x-9<BR>\n" );
document.write( "y=-(5/8)x+(9/8)<BR>\n" );
document.write( "m=-5/8<BR>\n" );
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document.write( "Slope of perpendicular line is negative reciprocal of original.<BR>\n" );
document.write( "Slope line 12=m=8/5<BR>\n" );
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document.write( "In slope intercept form:<BR>\n" );
document.write( "y=mx+b<BR>\n" );
document.write( "y=(8/5)x+b<BR>\n" );
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document.write( "To find b, use given point (10,10)<BR>\n" );
document.write( "x=10; y=10<BR>\n" );
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document.write( "y=(8/5)x+b<BR>\n" );
document.write( "10=(8/5)(10)+b<BR>\n" );
document.write( "10=(80/5)+b<BR>\n" );
document.write( "10=16+b<BR>\n" );
document.write( "-6=b<BR>\n" );
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document.write( "ANSWER: m=8/5; b=-6; m+b=-22/5<BR>\n" );
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