document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180195>Question 180195</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of the line that contains the point (3,2) and is perpendicular to the line 3x+y= -3\r<BR>\n" );
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document.write( "thanks for the help!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135052 by </B><A HREF=/tutors/aboutme.mpl?userid=mgmoeab><B>mgmoeab(37)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mgmoeab><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=mgmoeab><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=135052\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The line you're looking for passes through the point (3,2) and is perpendicular to the line 3x+y= -3<BR>\n" );
document.write( "You're looking for the equation of the line:<BR>\n" );
document.write( "y-Y1 = m(x-X1) since you are given point (3,2)<BR>\n" );
document.write( "you have<BR>\n" );
document.write( "a) y - 2 = m( x - 3)<BR>\n" );
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document.write( "Now, you only have to look for m (the slope)<BR>\n" );
document.write( "-Since the line is perpendicular to  3x+y= -3, then the product of the slopes of two lines will –1.<BR>\n" );
document.write( "-Since the slope of the line 3x+y= -3 is m = -3, then the slope of the line in question is m= 1/3<BR>\n" );
document.write( "The final step is to plug in the slope we found and the rest depends if you are asked to solve for y (b), or leave the equation in point-slope-form (a)<BR>\n" );
document.write( "(a) y - 2 = 1/3( x - 3)<BR>\n" );
document.write( "(b)y = 1/3x + 1\r<BR>\n" );
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document.write( "HOPE IT HELPS<BR>\n" );
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