document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=548266>Question 548266</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the equation of the line which is parallel to the line 4x - 5y = 9 and has the same y intercept as the line (2x) / 3 + (4y) / 5 = 8 \r<BR>\n" );
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document.write( "I don't know how to do this. <BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #356847 by </B><A HREF=/tutors/aboutme.mpl?userid=mathie123><B>mathie123(224)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathie123><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=356847\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's look at the first part:<BR>\n" );
document.write( "Determine the equation of the line which is parallel to the line 4x - 5y = 9\r<BR>\n" );
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document.write( "We know that parallel lines have the same slope (m value) <BR>\n" );
document.write( "We can rearrange this formula into y=mx+b and find that m-value.  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-5y=9 ALIGN=MIDDLE  ALT=\"4x-5y=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-5y%2B5y-9=9%2B5y-9 ALIGN=MIDDLE  ALT=\"4x-5y%2B5y-9=9%2B5y-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-9=5y ALIGN=MIDDLE  ALT=\"4x-9=5y\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x-9%29%2F5=5y%2F5 ALIGN=MIDDLE  ALT=\"%284x-9%29%2F5=5y%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x-9%29%2F5=y ALIGN=MIDDLE  ALT=\"%284x-9%29%2F5=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%284%2F5%29%2Ax-9%2F5 ALIGN=MIDDLE  ALT=\"y=%284%2F5%29%2Ax-9%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "So the m value is 4/5 \r<BR>\n" );
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document.write( "For the second part, <BR>\n" );
document.write( "Again we can rearrange (2x) / 3 + (4y) / 5 = 8  into y=mx+b form and the b value will be the y-intercept \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29+%2F+3+%2B+%284y%29+%2F+5+=+8 ALIGN=MIDDLE  ALT=\"%282x%29+%2F+3+%2B+%284y%29+%2F+5+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiple every term by 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A%28%282x%29+%2F+3%29+%2B+3%2A%28%284y%29+%2F+5%29+=+3%2A8 ALIGN=MIDDLE  ALT=\"3%2A%28%282x%29+%2F+3%29+%2B+3%2A%28%284y%29+%2F+5%29+=+3%2A8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29+%2B+%28%2812y%29+%2F+5%29+=+24 ALIGN=MIDDLE  ALT=\"%282x%29+%2B+%28%2812y%29+%2F+5%29+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now multiply every term by 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A%282x%29+%2B+5%2A%28%2812y%29+%2F+5%29+=+5%2A24 ALIGN=MIDDLE  ALT=\"5%2A%282x%29+%2B+5%2A%28%2812y%29+%2F+5%29+=+5%2A24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810x%29+%2B+%2812y%29+=+120 ALIGN=MIDDLE  ALT=\"%2810x%29+%2B+%2812y%29+=+120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810x%29+%2B+%2812y%29+-10x=+120-10x ALIGN=MIDDLE  ALT=\"%2810x%29+%2B+%2812y%29+-10x=+120-10x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12y=+120-10x ALIGN=MIDDLE  ALT=\"12y=+120-10x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12y%2F12=+120%2F12-10x%2F12 ALIGN=MIDDLE  ALT=\"12y%2F12=+120%2F12-10x%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+10-10%2F12%2Ax ALIGN=MIDDLE  ALT=\"y=+10-10%2F12%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-10%2F12%2Ax%2B10 ALIGN=MIDDLE  ALT=\"y=-10%2F12%2Ax%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From this we see that the b-value is 10\r<BR>\n" );
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document.write( "Since the line we are looking for has the same slope and same y-intercept, we can plug these values right into the y-intercept form of a line (y=mx+b).  This leaves:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4%2F5%2Ax%2B10 ALIGN=MIDDLE  ALT=\"y=4%2F5%2Ax%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hopefully this helps:) \r<BR>\n" );
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document.write( " </SPAN>\n" );
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