document.write( "Question 1061888: a line from the origin meets another line 2x-4y-16=0 at an angle of 90 degrees . find the equation of the line if it is 4cm away from the given line and makes an angle of 60 degrees with the x-axis \n" ); document.write( "
Algebra.Com's Answer #676674 by josgarithmetic(39620)\"\" \"About 
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Just this much description should be enough without the other included descrptive part: a line from the origin meets another line 2x-4y-16=0 at an angle of 90 degrees .\r
\n" ); document.write( "\n" ); document.write( "Question is to find the equation of that line containing (0,0) and perpendicular to the given line.\r
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\n" ); document.write( "\n" ); document.write( "\"2x-4y-16=0\"
\n" ); document.write( "\"x-2y-8=0\"
\n" ); document.write( "\"-2y=-x%2B8\"
\n" ); document.write( "\"y=x%2F2%2B4\"
\n" ); document.write( "Slope of given line is \"1%2F2\". \r
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\n" ); document.write( "\n" ); document.write( "\"meets at an angle of 90 degrees\" means that the line you look for has slope of \"-2\", negative reciprocal of the given line.\r
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\n" ); document.write( "\n" ); document.write( "Review what you know:
\n" ); document.write( "Line you want contains (0,0) and has slope \"-2\".\r
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\n" ); document.write( "\n" ); document.write( "Using point-slope form of equation,
\n" ); document.write( "\"y-0=-2%28x-0%29\"
\n" ); document.write( "\"highlight%28y=-2x%29\"--------this is the line your first sentence DESCRIBES. You can check to see how well this satisfies the other specifications.
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