document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=433112>Question 433112</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi i was wondering if someone could help me with this problem<BR>\n" );
document.write( "I need to find the slope intercept form of the equation of the line through (-1/4,1/2) and perpendicular to the line with the equation 2x-4y=9 <BR>\n" );
document.write( "so far I have the equation in y=-2x with the y intercept being 0. I was just wondering if this is right? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #300213 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=300213\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First put the equation 2x-4y=9 in standard form:<BR>\n" );
document.write( "y = 1/2x - 9/4<BR>\n" );
document.write( "The slope of the perpendicular line is the negative reciprocal of 1/2 = -2 (you were correct!)<BR>\n" );
document.write( "The point-slope form for a line is:<BR>\n" );
document.write( "y - y1 = m(x - x1)<BR>\n" );
document.write( "Using the point (x1,y1) = (-1/4,1/2) we get:<BR>\n" );
document.write( "y - 1/2 = -2(x - -1/4)<BR>\n" );
document.write( "This gives y = -2x<BR>\n" );
document.write( "So, the y-intercept is 0 (you were correct!)<BR>\n" );
document.write( "The lines are shown below:<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%2Cx%2F2-9%2F4%2C-2x%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%2F2-9%2F4%2C-2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );