document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=215302>Question 215302</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How can i determine if the followingpairs of lines are parallel, perpendicular or neither: (y=-3/4x-2 ) (6x+8y=-5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162672 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162672\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = -3/4x - 2<BR>\n" );
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document.write( "6x + 8y = -5<BR>\n" );
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document.write( "Slope Intercept form of the equation for a straight line is y = mx + b where m is the slope and b is the y intercept.<BR>\n" );
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document.write( "First equation is already in that form.<BR>\n" );
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document.write( "In the second equation, solve for y in the equation of:<BR>\n" );
document.write( "6x + 8y = - 5<BR>\n" );
document.write( "Subtract 6x from both sides of this equation to get:<BR>\n" );
document.write( "8y = -6x - 5<BR>\n" );
document.write( "Divide both sides of this equation to get:<BR>\n" );
document.write( "y = (-6x - 5)/8 which becomes:<BR>\n" );
document.write( "y = (-6/8)*x - (5/8)<BR>\n" );
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document.write( "Slope of the first line is -(3/4)<BR>\n" );
document.write( "Slope of the second line is -(6/8)<BR>\n" );
document.write( "-(3/4) is the same as -(6/8) so the lines are parallel.<BR>\n" );
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document.write( "Graph of both lines is shown below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph+%28300%2C300%2C-10%2C10%2C-10%2C10%2C%28-3%2F4%29%2Ax-2%2C-%286%2F8%29%2Ax-%285%2F8%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The y intercept of your first line is -2.<BR>\n" );
document.write( "The y intercept of your second line is -(5/8)<BR>\n" );
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document.write( "Slope Intercept form of the equation for your first line is:<BR>\n" );
document.write( "y = (-3/4)*x - 2 where (-3/4) is the slope and -2 is the y intercept.<BR>\n" );
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document.write( "Slope Intercept form of the equation for your second line is:<BR>\n" );
document.write( "y = (-6/8)*x - (5/8) where (-6/8) is the slope and -(5/8) is the y intercept.<BR>\n" );
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document.write( "The equation of the second line can be simplified further to equal:<BR>\n" );
document.write( "y = (-3/4)*x - (5/8) where (-3/4) is the slope and -(5/8) is the y intercept.<BR>\n" );
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