document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=264488>Question 264488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of the line perpendicular to y=-7/5x+100, passing through the points (-14,-52) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194723 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=194723\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the equation of the line perpendicular to y=-7/5x+100, passing through the points (-14,-52)\r<BR>\n" );
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document.write( "this line has slope m of -7/5<BR>\n" );
document.write( "the perpendicular line needs to be -1/m and the product of the slopes needs to be -1<BR>\n" );
document.write( "-1/m = -1/(-7/5) = 5/7 which is the slope of the perpendicular line<BR>\n" );
document.write( "and -7/5 * 5/7 = -1\r<BR>\n" );
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document.write( "now need to solve for new b (y-intercept or vertical-intercept or point (0,b))<BR>\n" );
document.write( "5/7 * -14 + b = -52<BR>\n" );
document.write( "-70/7 + b = -52<BR>\n" );
document.write( "-10 + b = -52<BR>\n" );
document.write( "b = -42\r<BR>\n" );
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document.write( "equation of line is y = 5/7 * x - 42<BR>\n" );
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