document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=823974>Question 823974</A>: <I><SPAN STYLE=\"word-break: break-all;\"> examine the two lines given by 2x-8y=7 and -x+4y-1=0 to determine if they are parallel, perpendicular, or neither. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #495959 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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/cgi-bin/show-face.mpl?user=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=495959\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "2x - 8y = 7<BR>\n" );
document.write( "-x + 4y - 1 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "put the system of linear equations into standard form<BR>\n" );
document.write( "---<BR>\n" );
document.write( "2x - 8y = 7<BR>\n" );
document.write( "-x + 4y = 1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "copy and paste the above standard form linear equations in to this solver:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer1:<BR>\n" );
document.write( "this linear system is singular, it has no solution:<BR>\n" );
document.write( "the lines are parallel<BR>\n" );
document.write( "---<BR>\n" );
document.write( "another method:<BR>\n" );
document.write( "convert the lines to slope-intercept form:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "2x - 8y = 7<BR>\n" );
document.write( "-8y = -2x + 7<BR>\n" );
document.write( "y = -2x/(-8) + 7/(-8)<BR>\n" );
document.write( "y = (1/4)x - 7/8<BR>\n" );
document.write( "---<BR>\n" );
document.write( "-x + 4y = 1<BR>\n" );
document.write( "4y = x + 1<BR>\n" );
document.write( "y = (1/4)x + 1/4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer2:<BR>\n" );
document.write( "both lines have the same slope (1/4) so the lines are parallel<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );