document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=455382>Question 455382</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help. Write an equation of the line containing the given point and the parallel to the given line. Express your answer in the form y=mx+b<BR>\n" );
document.write( "(7,9); x +2y =3\r<BR>\n" );
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document.write( "The equation of the line is y=<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 #312651 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=312651\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, you know that parallel lines have the same slope.<BR>\n" );
document.write( "Second, get the given equation into slope-intercept form.<BR>\n" );
document.write( "x +2y = 3<BR>\n" );
document.write( "2y = -x +3<BR>\n" );
document.write( "y = -x/2 +3/2<BR>\n" );
document.write( "So, the slope = -1/2.<BR>\n" );
document.write( "The y-intercept = 3<BR>\n" );
document.write( "The x-intercept is where y=0, so that's x=3.<BR>\n" );
document.write( "A graph is useful.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-1%2F2%2Ax%2B3%2F2%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-1%2F2%2Ax%2B3%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "But that line does not go through (7,9).<BR>\n" );
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document.write( "So, we have to find the value for b that will shift the line up or down to go through (7,9).<BR>\n" );
document.write( "9 = -1/2*7 + b<BR>\n" );
document.write( "Multiply though by 2<BR>\n" );
document.write( "18 = -7 + 2b<BR>\n" );
document.write( "25 = 2b<BR>\n" );
document.write( "2b = 25<BR>\n" );
document.write( "b = 25/2<BR>\n" );
document.write( "which means the equation is<BR>\n" );
document.write( "y = -x/2 + 25/2<BR>\n" );
document.write( "Again, a graph is useful.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C-15%2C15%2C-15%2C15%2C-1%2F2%2Ax%2B3%2F2%2C-x%2F2%2B25%2F2%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-15%2C15%2C-15%2C15%2C-1%2F2%2Ax%2B3%2F2%2C-x%2F2%2B25%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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