document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=992766>Question 992766</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line that satisfies the given conditions(a) write the equation in slope-intercept form(b) write the equation in standard form.  Through(4,1) parallel to 2x+5y=10<BR>\n" );
document.write( "Through (2,-7) perpendicular to 5x+2y=18\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #612258 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=612258\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "Through(4,1) parallel to 2x+5y=10<BR>\n" );
document.write( "Sort 2x + 5y = 10 into:-<BR>\n" );
document.write( "y = mx + c form<BR>\n" );
document.write( "5y = -2x + 10<BR>\n" );
document.write( "y = -2/5x + 2<BR>\n" );
document.write( "Gradient (m) = -2/5<BR>\n" );
document.write( "Lines that are parallel to one another<BR>\n" );
document.write( "have gradients that equal one another.<BR>\n" );
document.write( "m1 = m2<BR>\n" );
document.write( "Using line equation:-<BR>\n" );
document.write( "y - b = m(x - a)<BR>\n" );
document.write( "m = -2/5 (a,b) = (4,1)<BR>\n" );
document.write( "y - 1 = -2/5( x - 4)<BR>\n" );
document.write( "y - 1 = -2/5x + 8/5<BR>\n" );
document.write( "y = -2/5x + 8/5 + 5/5 (1)<BR>\n" );
document.write( "y = -2/5x + 13/5<BR>\n" );
document.write( "or <BR>\n" );
document.write( "5y = -2x + 13<BR>\n" );
document.write( "..................<BR>\n" );
document.write( "Through (2,-7) perpendicular to 5x+2y=18<BR>\n" );
document.write( "Sort 5x + 2y = 18 into:-<BR>\n" );
document.write( "y = mx + c form<BR>\n" );
document.write( "2y = -5x + 18<BR>\n" );
document.write( "y = -5/2x + 9<BR>\n" );
document.write( "Gradient (m) = -5/2<BR>\n" );
document.write( "Lines that are parallel to one another<BR>\n" );
document.write( "have gradients that multiply together<BR>\n" );
document.write( "to give -1<BR>\n" );
document.write( "m1 x m2 = -1<BR>\n" );
document.write( "-5/2 x m2 = -1<BR>\n" );
document.write( "m2 = 2/5<BR>\n" );
document.write( "Using line equation:-<BR>\n" );
document.write( "y - b = m(x - a)<BR>\n" );
document.write( "m = 2/5 (a,b) = (2,-7)<BR>\n" );
document.write( "y - (-7) = 2/5(x - 2)<BR>\n" );
document.write( "y + 7 = 2/5x - 4/5<BR>\n" );
document.write( "y = 2/5x - 4/5 - 35/5 (7)<BR>\n" );
document.write( "y = 2/5x - 39/5<BR>\n" );
document.write( "or<BR>\n" );
document.write( "5y = 2x - 39<BR>\n" );
document.write( "Hope this helps :-) </SPAN>\n" );
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