document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194177>Question 1194177</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the line that is passing through (5,-2)\r<BR>\n" );
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document.write( "parallel to y=2/5x-2\r<BR>\n" );
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document.write( "perpendicular to y=2/5x-2 </SPAN>\n" );
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document.write( "The slope of y = mx+b is m<BR>\n" );
document.write( "For y = (2/5)x - 2, that slope is m = 2/5\r<BR>\n" );
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document.write( "Rule: Parallel lines have equal slopes, but different y intercepts.\r<BR>\n" );
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document.write( "Anything parallel to y = (2/5)x-2 must have a slope of m = 2/5, but a different y intercept.\r<BR>\n" );
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document.write( "Let's plug in the coordinates of (x,y) = (5,-2) and solve for b<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "y = (2/5)x + b<BR>\n" );
document.write( "-2 = (2/5)*5 + b<BR>\n" );
document.write( "-2 = 2 + b<BR>\n" );
document.write( "b = -2-2<BR>\n" );
document.write( "b = -4\r<BR>\n" );
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document.write( "The parallel line passing through (5,-2) is <font color=red>y = (2/5)x - 4</font>\r<BR>\n" );
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document.write( "-----------------------------------------------------------\r<BR>\n" );
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document.write( "Given a slope of a/b, the perpendicular slope is -b/a<BR>\n" );
document.write( "We do two things: <BR>\n" );
document.write( "* flip the fraction<BR>\n" );
document.write( "* flip the sign (from positive to negative or vice versa)\r<BR>\n" );
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document.write( "For 2/5, the perpendicular slope is -5/2<BR>\n" );
document.write( "Note how the two slopes multiply to -1\r<BR>\n" );
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document.write( "Now let's find the y intercept<BR>\n" );
document.write( "y = mx+b<BR>\n" );
document.write( "y = (-5/2)x+b<BR>\n" );
document.write( "-2 = (-5/2)*5+b<BR>\n" );
document.write( "-2 = -12.5+b<BR>\n" );
document.write( "b = -2+12.5<BR>\n" );
document.write( "b = 10.5<BR>\n" );
document.write( "b = 21/2\r<BR>\n" );
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document.write( "The perpendicular line passing through (5,-2) is <font color=red>y = (-5/2)x + 21/2</font><BR>\n" );
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