document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=761616>Question 761616</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the line  8x-6y=3\r<BR>\n" );
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document.write( "What is the slope of a line perpendicular to this line?\r<BR>\n" );
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document.write( "What is the slope of a line parallel to this line? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #463334 by </B><A HREF=/tutors/aboutme.mpl?userid=ramkikk66><B>ramkikk66(644)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ramkikk66><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=463334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 8x-6y=3\r<BR>\n" );
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document.write( "This is in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%2Bby=c ALIGN=MIDDLE  ALT=\"ax%2Bby=c\"   DISABLED_style= \"max-width:90%; height:auto;\" > where the slope is given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-a%2Fb%29 ALIGN=MIDDLE  ALT=\"%28-a%2Fb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Here, a = 8 and b = -6, hence slope = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8%2F-6+=+4%2F3 ALIGN=MIDDLE  ALT=\"-8%2F-6+=+4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Lines parallel to each other have the same slope\r<BR>\n" );
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document.write( "Lines perpendicular to each other have slopes whose product is -1.\r<BR>\n" );
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document.write( "Slope of a line perpendicular to this would be -3/4\r<BR>\n" );
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document.write( "Slope of any line parallel to this would be the same as the slope of this line i.e. 4/3. \r<BR>\n" );
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document.write( "See the pictorial representation of the line in the graph below.\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=describe_linear_equation.solver>DESCRIBE a linear EQUATION: slope, intercepts, etc</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+x+%2B+-6+y+=+3 ALIGN=MIDDLE  ALT=\"8+x+%2B+-6+y+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > describes a sloping line. For any <BR>\n" );
document.write( "  equation ax+by+c = 0, slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-a%2Fb+=+-8%2F-6 ALIGN=MIDDLE  ALT=\"-a%2Fb+=+-8%2F-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<UL><LI>X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x =  c/a. 3/8 = 0.375.</LI><LI>Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 3/-6 = -0.5.</LI><LI>Slope is -8/-6 = 1.33333333333333.</LI><LI> Equation in slope-intercept form: y=1.33333333333333*x+-0.5.</LI></UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+0.375-8%2C+0.375%2B8%2C+-0.5-8%2C+-0.5%2B8%2C+1.33333333333333%2Ax%2B-0.5+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
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document.write( " </SPAN>\n" );
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