document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92938>Question 92938</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the x,y plane,  what is perpendicular to the graph of the linear equation 3x-4y=0\r<BR>\n" );
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document.write( "I've done this over and over but i can't figure it out. The answer is supposed to be y=-(4/3)x+12 but i keep getting y=(3/4)x+0. Thank you for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67633 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=67633\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is perpendicular to the graph of:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-4y+=+0 ALIGN=MIDDLE  ALT=\"3x-4y+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You'll recall that if lines are perpendicular, then their slopes are the negative reciprocal of each other.  So putting your equation into the slope-intercept form (y = mx+b) where we can readily identify the slope, m:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%283%2F4%29x ALIGN=MIDDLE  ALT=\"y+=+%283%2F4%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...and you can see that the slope, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+3%2F4 ALIGN=MIDDLE  ALT=\"m+=+3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you'll also notice that the y-intercept, b, is zero (This line passes through the origin)<BR>\n" );
document.write( "Now that you have you slope, the slope of any line that is perpendicular to this one will be the negative reciprocal of 3/4 or -4/3, so you can write:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-4%2F3%29x+%2B+b ALIGN=MIDDLE  ALT=\"y+=+%28-4%2F3%29x+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice that this equation is for a whole set of lines having the same slope, not just one line, and without additional information, such as the y-intercept, you really cannot identify a specific line, can you?<BR>\n" );
document.write( "So the given answer <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-4%2F3%29x+%2B+12 ALIGN=MIDDLE  ALT=\"y+=+%28-4%2F3%29x+%2B+12\"   DISABLED_style= \"max-width:90%; height:auto;\" > certainly will be a correct answer, but so will your answer <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-4%2F3%29x%2B0 ALIGN=MIDDLE  ALT=\"y+=+%28-4%2F3%29x%2B0\"   DISABLED_style= \"max-width:90%; height:auto;\" >(Green line)<BR>\n" );
document.write( "The graph below should illustrate this quite clearly:(The graph of the given equation is in red)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C400%2C-5%2C5%2C-4%2C4%2C%283%2F4%29x%2C%28-4%2F3%29x%2C%28-4%2F3%29x%2B4%2C%28-4%2F3%29x%2B6%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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