document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=397360>Question 397360</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the line \r<BR>\n" );
document.write( "\n" );
document.write( "y=A+B(x-3)<BR>\n" );
document.write( " is perpendicular to the line \r<BR>\n" );
document.write( "\n" );
document.write( "y=2x<BR>\n" );
document.write( " and<BR>\n" );
document.write( "it contains the point \r<BR>\n" );
document.write( "\n" );
document.write( "(5,15)<BR>\n" );
document.write( ", what are the values of \r<BR>\n" );
document.write( "\n" );
document.write( "A and B?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #281656 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=281656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the line<BR>\n" );
document.write( "y=A+B(x-3)<BR>\n" );
document.write( "is perpendicular to the line<BR>\n" );
document.write( "y=2x<BR>\n" );
document.write( "and<BR>\n" );
document.write( "it contains the point<BR>\n" );
document.write( "(5,15)<BR>\n" );
document.write( ", what are the values of<BR>\n" );
document.write( "A and B? \r<BR>\n" );
document.write( "\n" );
document.write( "y=A+B(x-3)<BR>\n" );
document.write( "This equation is a straight line of the standard form, y=mx+b, with m being the slope and b the y-intercept.<BR>\n" );
document.write( "In the given equation, B is the slope and A, the y-intercept.<BR>\n" );
document.write( "This line is perpendicular to another line, y=2x, whose slope=2.<BR>\n" );
document.write( "The negative reciprocal of this slope is the slope of the given line which would be -1/2 which is also equal to B<BR>\n" );
document.write( "The equation now reads y=-1/2(x-3)+A<BR>\n" );
document.write( "To find A, use the (x,y) coordinates given, and solve for A.<BR>\n" );
document.write( "15=-1/2(5-3)+A<BR>\n" );
document.write( "15=-1+A<BR>\n" );
document.write( "A=16<BR>\n" );
document.write( "The equation now reads, y=(-1/2)(x-3)+16 \r<BR>\n" );
document.write( "\n" );
document.write( "Ans: <BR>\n" );
document.write( "B=-1/2<BR>\n" );
document.write( "A=16  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );