document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=545257>Question 545257</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am lost!!! Can you explain step by step how to solve this problem? Write an equation of the line containing the given point and parellal to the given line. <BR>\n" );
document.write( "(-2,6); 9x = 8y + 5<BR>\n" );
document.write( "I am totally confused, and even viewing examples, I just cannot understand how the final answer is arrived at.<BR>\n" );
document.write( "Thank you so much in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #355550 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=355550\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the line containing the point (-2,6) and parallel(sp) to the line: 9x = 8y+5<BR>\n" );
document.write( "First, find the slope of the given line by putting in the \"slope-intercept\" form y = mx+b:<BR>\n" );
document.write( "9x = 8y+5 Subtract 5 from both sides.<BR>\n" );
document.write( "9x-5 = 8y Now divide both sides by 8.<BR>\n" );
document.write( "(9/8)x-5/8 = y  which you should write as:<BR>\n" );
document.write( "y = (9/8)x-5/8 Now compare this with the \"slope-intercept\" form.<BR>\n" );
document.write( "y = mx+b and you can see that the line represented by the given equation has a slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+9%2F8 ALIGN=MIDDLE  ALT=\"m+=+9%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, as you recall from your class, parallel lines have the same slope. This means that the new line whose equation you are going to write must have a slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+9%2F8 ALIGN=MIDDLE  ALT=\"m+=+9%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So you can start the new equation, in \"slope-intercept\" form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%289%2F8%29x%2Bb ALIGN=MIDDLE  ALT=\"y+=+%289%2F8%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now to find b, the y-intercept, you will use the coordinates of the given point (-2,6) and substitute the x- and y-coordinates into your starting equation above:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%289%2F8%29x%2Bb ALIGN=MIDDLE  ALT=\"y+=+%289%2F8%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute x = -2 and y = 6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+%289%2F8%29%28-2%29%2Bb ALIGN=MIDDLE  ALT=\"6+=+%289%2F8%29%28-2%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve for b.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+-9%2F4%2Bb ALIGN=MIDDLE  ALT=\"6+=+-9%2F4%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F4 ALIGN=MIDDLE  ALT=\"9%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4+=+b ALIGN=MIDDLE  ALT=\"1%2F4+=+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now you can complete your equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%289%2F8%29x%2B1%2F4 ALIGN=MIDDLE  ALT=\"y+=+%289%2F8%29x%2B1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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