document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=315055>Question 315055</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to find the equation of the line tha contains the point (-1, 4) and is parallel to the line 2x - 3y = 5.\r<BR>\n" );
document.write( "\n" );
document.write( "I can get the slope of the given line.  But i am getting lost using the point slope formula once I get to y -4 = 2/3x + 2/3.  Could you please work through the entire equation without leaving any step out please.. Thank you so much\r<BR>\n" );
document.write( "\n" );
document.write( "Grateful \r<BR>\n" );
document.write( "\n" );
document.write( "Sandy </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #225352 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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/cgi-bin/show-face.mpl?user=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=225352\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The solution offered by the OTHER tutor has an error.  Where he attempted to solve for b=4-2/3, it should have been b=4+2/3, which would have given a final answer of y=2/3 x + 14/3, NOT 10/3 !!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Dr. Robert J. Rapalje, Retired\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If you got to the part of the problem where you had <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-4=%282%2F3%29%28x%2B1%29 ALIGN=MIDDLE  ALT=\"y-4=%282%2F3%29%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Next, I recommend clearing the fraction by multiplying both sides by 3:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y-12=+2x%2B2 ALIGN=MIDDLE  ALT=\"3y-12=+2x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Finally, in order to get x and y terms on the same side with a positive x coefficient, I would subtract 3y from each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12=+2x-3y+%2B+2 ALIGN=MIDDLE  ALT=\"-12=+2x-3y+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Bring the numbers to the left side by subtracting 2 from each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-14=2x-3y ALIGN=MIDDLE  ALT=\"-14=2x-3y\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-3y=-14 ALIGN=MIDDLE  ALT=\"2x-3y=-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "As a check, you may want to plug in the (-1,4) to see if it works:<BR>\n" );
document.write( "2x-3y=-14<BR>\n" );
document.write( "2(-1)-3(4)=-14<BR>\n" );
document.write( "-2-12=-14\r<BR>\n" );
document.write( "\n" );
document.write( "It checks.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Dr. Robert J. Rapalje, Retired<BR>\n" );
document.write( "Seminole State College of Florida<BR>\n" );
document.write( "Altamonte Springs Campus  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );