document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=675462>Question 675462</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line parallel to 5x + 4y = 2 containing the point (3, –1). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #419850 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=419850\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line parallel to 5x + 4y = 2 containing the point (3, –1)<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Equation of a line: y=mx+b, m=slope, b=y-intercept<BR>\n" );
document.write( "5x + 4y = 2<BR>\n" );
document.write( "4y=-5x+2<BR>\n" );
document.write( "y=-5x/4+1/2<BR>\n" );
document.write( "m=-5/4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "lines parallel to each other have the same slopes<BR>\n" );
document.write( "equation of parallel line: <BR>\n" );
document.write( "y=-5x/4+b<BR>\n" );
document.write( "solve for b using coordinates of given point (3,-1)<BR>\n" );
document.write( "-1=-5*3/4+b<BR>\n" );
document.write( "b=-1+15/4=-4/4+15/4=11/4<BR>\n" );
document.write( "equation: y=-5x/4+11/4 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );