document.write( "Question 161816: Find the equation in standard form with all integer coefficients of the line perpendicular to x-4y=48 and passing through (1,6).
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Algebra.Com's Answer #119230 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
First put your equation into slope-intercept form, $\"y=mx%2Bb\"$ .
\n" ); document.write( " $\"x-4y=48\"$
\n" ); document.write( " $\"-4y=-x%2B48\"$
\n" ); document.write( " $\"y=%281%2F4%29x-12\"$
\n" ); document.write( "The slope of the line is (1/4) or
\n" ); document.write( " $\"m%5B1%5D=%281%2F4%29\"$
\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals of each other,
\n" ); document.write( " $\"m%5B1%5Dm%5B2%5D=-1\"$
\n" ); document.write( "Then
\n" ); document.write( " $\"%281%2F4%29m%5B2%5D=-1\"$
\n" ); document.write( " $\"m%5B2%5D=-4\"$
\n" ); document.write( "You can use the point slope form of the line with slope=-4 and point (1,6).
\n" ); document.write( " $\"y-y%5B1%5D=m%28x-x%5B1%5D%29\"$
\n" ); document.write( " $\"y-6=-4%28x-1%29\"$
\n" ); document.write( " $\"y=-4x%2B4%2B6\"$
\n" ); document.write( " $\"y=-4x%2B10\"$
\n" ); document.write( " $\"4x%2By=10\"$
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\n" ); document.write( "We can verify the solution graphically.
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