document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212071>Question 212071</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value(s) of d so that the points (6,d) and (4,7) lie on a line that is parallel to the line 7x-8y=-80 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160167 by </B><A HREF=/tutors/aboutme.mpl?userid=HyperBrain><B>HyperBrain(694)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=HyperBrain><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=160167\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 7x-8y=-80<BR>\n" );
document.write( "---<BR>\n" );
document.write( "We transform this line into its slope-intercept form.<BR>\n" );
document.write( "7x-8y=-80<BR>\n" );
document.write( "8y=7x+80<BR>\n" );
document.write( "y=(7/8)x+10<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Now, we know that the slope of this line is 7/8.<BR>\n" );
document.write( "The line passing through the given two points must also have a slope of 7/8 for it to be parallel to the given line.<BR>\n" );
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document.write( "(6,d) and (4,7)<BR>\n" );
document.write( "m=(d-7)/(6-4)=(d-7)/2<BR>\n" );
document.write( "(d-7)/2=7/8<BR>\n" );
document.write( "4(d-7)=7<BR>\n" );
document.write( "4d-28=7<BR>\n" );
document.write( "4d=35<BR>\n" );
document.write( "<u>d=35/4</u> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );