document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164934>Question 164934</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130625604/algebrahomeworkh>Geomertry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation for the line parrallel to XY that contains Z.\r<BR>\n" );
document.write( "\n" );
document.write( "XY: 6x-10y+5=0, Z(-5,3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121567 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=121567\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We know that lines that are parallel have the same slopes. So we must first write our equation in y=mx+b format to find the slope which is m in this equation. re-writing our equation into this format we add 10y on both sides which gives us 10y=6x+5 now divide both sides by 10 and y=6/10+5/10 simplifing is y=3/5x-1/2  so our slope is 3/5. the formula for point slope is y-k = m(x-h) where (h,k) is any point on the line. Our given point is z(-5,3). so substituting our know facts we get<BR>\n" );
document.write( "y-3= 3/5(x-(-5)) which equals y-3=3/5(x+5)....multiply and simplify to y=mx+b format y=3/2x +4 <BR>\n" );
document.write( "answer: y=3/5x+6 <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );