document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119703>Question 1119703</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.Use the given conditions to write an equation for the line in the indicated form.\r<BR>\n" );
document.write( "\n" );
document.write( "Passing through (3, 4) and perpendicular to the line whose equation is -2x+y-2=0<BR>\n" );
document.write( "slope-intercept form?\r<BR>\n" );
document.write( "\n" );
document.write( "2.Find and simplify the difference quotient {-f(x)+f(h+x)}/h, h different 0  for the given function.\r<BR>\n" );
document.write( "\n" );
document.write( "f(x) = x2 + 4x - 5\r<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 #735307 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=735307\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation of the line may be rewritten as y=2x+2 and has slope 2<BR>\n" );
document.write( "The line perpendicular to it has slope -1/2, the negative reciprocal.<BR>\n" );
document.write( "y-y1=m(x-x1) point slope formula where m is slope and (x1, y1) point<BR>\n" );
document.write( "y-4=(-1/2)(x-3)<BR>\n" );
document.write( "y=-x/2 + 11/2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C2x%2B2%2C%28-x%2F2%29%2B%2811%2F2%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C2x%2B2%2C%28-x%2F2%29%2B%2811%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "This is (x^2+2xh+h^2+4x+4h-5-(x^2+4x-5) divided by h<BR>\n" );
document.write( "The numerator becomes 2xh+h^2+4h, the denominator h<BR>\n" );
document.write( "This simplifies to 2x+h+4 and as h goes to 0, that becomes 2x+4, which is the derivative\r<BR>\n" );
document.write( "\n" );
document.write( "f(x+h) for the function is (x+h)^2+4(x+h)-5, which is where the numerator came from. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );