document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=45752>Question 45752</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	Find the equation of the following line, write the equation in the slope intercept form.  Identify the slope and y-intercept. <BR>\n" );
document.write( "Through (1,4) and parallel to x – 2y = 6<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 #30380 by </B><A HREF=/tutors/aboutme.mpl?userid=tutmath><B>tutmath(14)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutmath><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=30380\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Parallel lines will have the same slope. <BR>\n" );
document.write( "Slope intercept form is <BR>\n" );
document.write( "y = mx + c<BR>\n" );
document.write( "where m is the slope and c is the y-intercept of the line\r<BR>\n" );
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document.write( "The line that satisfies the given equation:<BR>\n" );
document.write( "x – 2y = 6<BR>\n" );
document.write( "can be written as<BR>\n" );
document.write( "y = x/2 - 3\r<BR>\n" );
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document.write( "Slope = 1/2\r<BR>\n" );
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document.write( "A line parallel to this line will also have slope = 1/2<BR>\n" );
document.write( "Let us assume the equation of the line is <BR>\n" );
document.write( "y = mx + c<BR>\n" );
document.write( "Now we know m = 1/2 from above, also given that (1,4) is a point on the line so it satisfies the equation of the line.\r<BR>\n" );
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document.write( "Substituting,<BR>\n" );
document.write( "4 = 1/2(1) + c<BR>\n" );
document.write( "therefore, c = 7/2\r<BR>\n" );
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document.write( "So the equation of the line passing through (1,4) with slope 1/2 will be:\r<BR>\n" );
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document.write( "y = x/2 + 7/2\r<BR>\n" );
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