document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156957>Question 156957</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of the line through the points (-2,4) parallel to the line <BR>\n" );
document.write( "2x+7y=9\r<BR>\n" );
document.write( "\n" );
document.write( "i tried solving for \"y\" but was not really sure if i was doing it right<BR>\n" );
document.write( "or what to do after<BR>\n" );
document.write( "-a/b=-2/7<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115728 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=115728\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> parallel line = 2x + 7y = 9.<BR>\n" );
document.write( "translate to y = mx+b to get slope.<BR>\n" );
document.write( "could also plot a couple of points to get the slope taking (y2-y1)/(x2-x1)<BR>\n" );
document.write( "7y = -2x + 9<BR>\n" );
document.write( "y = -2x/7 + 9/7<BR>\n" );
document.write( "slope is -2/7 so part of the equation is y = -2/7x because parallel lines have the same slope.<BR>\n" );
document.write( "to pass through (-2,4), when x = -2, y must be = to 4.<BR>\n" );
document.write( "when x = -2, -2/7x = -2/7*-2 = 4/7.<BR>\n" );
document.write( "4/7 plus 24/7 = 4, so we have to add 24/7 to the equation.<BR>\n" );
document.write( "equation becomes y = (-2/7)x + (24/7).<BR>\n" );
document.write( "can multiply both sides by 7 to get 7y = -2x + 24<BR>\n" );
document.write( "that should be it.<BR>\n" );
document.write( "graphing the equation shows it to be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28800%2C200%2C-10%2C20%2C-5%2C%2B5%2C%28-2x%2B24%29%2F7%29 ALIGN=MIDDLE  ALT=\"graph%28800%2C200%2C-10%2C20%2C-5%2C%2B5%2C%28-2x%2B24%29%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "plotting some points shows them to be:<BR>\n" );
document.write( "x,y<BR>\n" );
document.write( "-10,(44/7)<BR>\n" );
document.write( "-2,4<BR>\n" );
document.write( "0,(24/7)<BR>\n" );
document.write( "+2,(20/7)<BR>\n" );
document.write( "+10,(4/7)<BR>\n" );
document.write( "y intercept is when x = 12 (12,0). </SPAN>\n" );
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