document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1157269>Question 1157269</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of a line that goes through the point (4, -3) and is perpendicular to the line x−4y=16 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #780105 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=780105\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x-4y=16 can be written as 4y+16=x or 4y=x-16 or y=(1/4)x-4<BR>\n" );
document.write( "the slope of that line is 1/4<BR>\n" );
document.write( "perpendicular lines have negative reciprocal slopes when multiplied together, so the line wanted has slope -4.<BR>\n" );
document.write( "it goes through (4, -3)<BR>\n" );
document.write( "point slope formula y-y1=m(x-x1), m slope (x1, y1) point<BR>\n" );
document.write( "y+3=-4(x-4)<BR>\n" );
document.write( "y=-4x+13<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );