document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=24409>Question 24409</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write an equation for a line containing (1,4) and parallel to the line 3y-4x=12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #13000 by </B><A HREF=/tutors/aboutme.mpl?userid=vidyamanohar><B>vidyamanohar(13)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vidyamanohar><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=13000\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Any line parallel to the given line 3y-4x=12 i.e., 3y=4x+12 will have the same slope as the given line.  In the equation, the slope is given by the ratio of the coefficient of x to coefficient of y.  \r<BR>\n" );
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document.write( "Naturally, the required line also will have its equation with x and y coefficients same as that of given line.  so, let us take the equation as 3y=4x+k.<BR>\n" );
document.write( "what needs to be found now is the constant 'k'.  Here we go now to find k.\r<BR>\n" );
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document.write( "given that the point (1, 4) lies on the line.  So, (1, 4) has to satisfy the equation of the line.  So, we must choose the constant in such a way that when we plug the values x=1, y=4 in the equation, it should get satisfied.  Right?!\r<BR>\n" );
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document.write( "clearly, 3(4)=4(1)+k will be satisfied when k=8\r<BR>\n" );
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document.write( "so the equation to the required line is 3y=4x+8 </SPAN>\n" );
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