document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1023050>Question 1023050</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line that satisfies the given conditions. Your answers should be in slope-intercept form. \r<BR>\n" );
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document.write( "(a) x-intercept -8; y-intercept of 6 <BR>\n" );
document.write( "(b) through (1,1) and perpendicular to the line 4x-8y=1 <BR>\n" );
document.write( "(c) through (4,5) and parallel to the y-axis </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638654 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=638654\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "(a) x-intercept -8; y-intercept of 6 <BR>\n" );
document.write( "Gradient = 6/-8 = -3/4<BR>\n" );
document.write( "Using line equation y - b = m(x - a)<BR>\n" );
document.write( "m = -3/4 and (a,b) = (-8, 0)<BR>\n" );
document.write( "y - 0 = -3/4(x -(-8))<BR>\n" );
document.write( "y = -3/4(x + 8)<BR>\n" );
document.write( "y = -3/4x - 6<BR>\n" );
document.write( "...............<BR>\n" );
document.write( "(b) through (1,1) and perpendicular to the line 4x-8y=1 <BR>\n" );
document.write( "Sort 4x - 8y = 1 into y = mx + c form<BR>\n" );
document.write( "-8y = -4x + 1<BR>\n" );
document.write( "y = -4/-8 x + 1/-8<BR>\n" );
document.write( "y = 1/2x - 1/8<BR>\n" );
document.write( "Lines that are perpendicular to each other<BR>\n" );
document.write( "have gradients that multiply together to<BR>\n" );
document.write( "give -1<BR>\n" );
document.write( "m1 x m2 = -1<BR>\n" );
document.write( "1/2 x m2 = -1<BR>\n" );
document.write( "m2 = -2<BR>\n" );
document.write( "Using line equation y - b = m(x - a)<BR>\n" );
document.write( "m = -2 and (a,b) = (1,1)<BR>\n" );
document.write( "y - 1 = -2(x - 1)<BR>\n" );
document.write( "y - 1 = -2x + 2<BR>\n" );
document.write( "y = -2x + 2 + 1<BR>\n" );
document.write( "y = -2x + 3<BR>\n" );
document.write( "..............<BR>\n" );
document.write( "(c) through (4,5) and parallel to the y-axis<BR>\n" );
document.write( "A line parallel to the y axis would have 0 gradient.<BR>\n" );
document.write( "Equation would be x = 4<BR>\n" );
document.write( "Hope this helps :-)<BR>\n" );
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