document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=457603>Question 457603</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following is the equation of a line perpendicular to<BR>\n" );
document.write( "9y = 3x + 5 that passes through (-2,3)? \r<BR>\n" );
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document.write( "y = -3x - 3<BR>\n" );
document.write( "3y - 6x = 10<BR>\n" );
document.write( "y - 3x = -3<BR>\n" );
document.write( "y = -3x - 6\r<BR>\n" );
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document.write( "I really don't understand this. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #313970 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=313970\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Which of the following is the equation of a line perpendicular to<BR>\n" );
document.write( "9y = 3x + 5 that passes through (-2,3)?<BR>\n" );
document.write( "y = -3x - 3<BR>\n" );
document.write( "3y - 6x = 10<BR>\n" );
document.write( "y - 3x = -3<BR>\n" );
document.write( "y = -3x - 6 <BR>\n" );
document.write( ".<BR>\n" );
document.write( "Begin by finding the slope of:<BR>\n" );
document.write( "9y = 3x + 5<BR>\n" );
document.write( "y = (3/9)x + 5/9<BR>\n" );
document.write( "y = (1/3)x + 5/9 (slope-intercept form)<BR>\n" );
document.write( "we see that the slope is 1/3<BR>\n" );
document.write( "a line perpendicular would have to have a slope that is the negative reciprocal -- which is -3<BR>\n" );
document.write( "easiest way to inspect the four given answer looking for a -3 slope<BR>\n" );
document.write( "y = -3x - 3  (yes)<BR>\n" );
document.write( "3y - 6x = 10  (no)<BR>\n" );
document.write( "y - 3x = -3  (no)<BR>\n" );
document.write( "y = -3x - 6  (yes)<BR>\n" );
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document.write( "now, you only have to pick from two:<BR>\n" );
document.write( "y = -3x - 3<BR>\n" );
document.write( "y = -3x - 6 <BR>\n" );
document.write( "to eliminate one we use the given point:(-2,3)<BR>\n" );
document.write( "Only the \"top\" equation works:<BR>\n" );
document.write( "y = -3x - 3<BR>\n" );
document.write( "3 = -3(-2) - 3<BR>\n" );
document.write( "3 = 6 - 3<BR>\n" );
document.write( "3 = 3<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Answer: y = -3x - 3\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );