document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=51380>Question 51380</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve the following problem; Write the eqation of the line that passes through the point?(2,1) and is parallel to the line with the eqation y=5/2x + 6. I honestly do not know where to even begin on this. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #34336 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=34336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's write the required equation of the line in the \"slope-intercept\" form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx%2Bb ALIGN=MIDDLE  ALT=\"y+=+mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Where: m is the slope of the line and b is the y-intercept of the line.\r<BR>\n" );
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document.write( "Remember that parallel lines have the same slope.<BR>\n" );
document.write( "So, your new line is parallel the the line whose equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%285%2F2%29x%2B6 ALIGN=MIDDLE  ALT=\"y+=+%285%2F2%29x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Comparing this with the slope-intercept form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx%2Bb ALIGN=MIDDLE  ALT=\"y+=+mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > you can see that the slope of this line is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+5%2F2 ALIGN=MIDDLE  ALT=\"m+=+5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and, because the new line is parallel to this, it too will have a slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+5%2F2 ALIGN=MIDDLE  ALT=\"m+=+5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "So, step 1, for the new line, you can write:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%285%2F2%29x+%2B+b ALIGN=MIDDLE  ALT=\"y+=+%285%2F2%29x+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now all you need to do is to find the value of b, the y-intercept of the new line.<BR>\n" );
document.write( "You can do this by substituting the x- and y-coordinates of the given point (2, 1) into the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%285%2F2%29x+%2B+b ALIGN=MIDDLE  ALT=\"y+=+%285%2F2%29x+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > and solve for b.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+=+%285%2F2%29%282%29+%2B+b ALIGN=MIDDLE  ALT=\"1+=+%285%2F2%29%282%29+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify this.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+=+5+%2B+b ALIGN=MIDDLE  ALT=\"1+=+5+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 5 from both sides of the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4+=+b ALIGN=MIDDLE  ALT=\"-4+=+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > You can write the final equation now that you have the slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+5%2F2 ALIGN=MIDDLE  ALT=\"m+=+5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the y-intercept <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-4 ALIGN=MIDDLE  ALT=\"b+=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%285%2F2%29x+-+4 ALIGN=MIDDLE  ALT=\"y+=+%285%2F2%29x+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...and that's it!<BR>\n" );
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