document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=574774>Question 574774</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation of the line containing the given point and parellel to the given line. Express your answer in the form y=mx+b.<BR>\n" );
document.write( "(-6,8); 8x=7y+4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #369293 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=369293\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can start with the fact that parallel lines have identical slopes.<BR>\n" );
document.write( "Find the slope of the line given by the equation:<BR>\n" );
document.write( "8x = 7y+4 Convert to slope-intercept form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y+=+%288%2F7%29x-4%2F7%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=+%288%2F7%29x-4%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > So the slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+8%2F7 ALIGN=MIDDLE  ALT=\"m+=+8%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The new equation will start out as:<BR>\n" );
document.write( "y = (8/7)x+b<BR>\n" );
document.write( "Now find the value of b by substituting the x- and y-coordinates of the given point (-6, 8)<BR>\n" );
document.write( "8 = (8/7)(-6)+b Simplify.<BR>\n" );
document.write( "8 = -48/7 + b Solve for b.<BR>\n" );
document.write( "b = 8+48/7<BR>\n" );
document.write( "b = 56/7+48/7<BR>\n" );
document.write( "b = 104/7<BR>\n" );
document.write( "The final equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y+=+%288%2F7%29x%2B104%2F7%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y+=+%288%2F7%29x%2B104%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-15%2C15%2C-15%2C20%2C%288%2F7%29x-4%2F7%2C%288%2F7%29x%2B%28104%2F7%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );