document.write( "Question 986700: Find an equation of the line that satisfies the given conditions.
\n" ); document.write( "Through (1/2, - 2/3); perpendicular to the line 4x − 8y = 1
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Algebra.Com's Answer #607478 by Cromlix(4381)\"\" \"About 
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hi there,
\n" ); document.write( "Sort line equation 4x - 8y = 1
\n" ); document.write( "into y = mx + c form
\n" ); document.write( "-8y = - 4x + 1
\n" ); document.write( "Divide throughout by -8
\n" ); document.write( "y = 1/2x - 1/8
\n" ); document.write( "Lines that are perpendicular to
\n" ); document.write( "one another have gradients that
\n" ); document.write( "multiply together to give -1
\n" ); document.write( "m1 x m2 = -1
\n" ); document.write( "In this case:
\n" ); document.write( "1/2 x m2 = -1
\n" ); document.write( "m2 = -2
\n" ); document.write( "Setting up the line equation
\n" ); document.write( "y - b = m(x - a)
\n" ); document.write( "Where m = -2 and (a,b) -> (1/2, -2/3)
\n" ); document.write( "y -(-2/3) = -2(x - 1/2)
\n" ); document.write( "y + 2/3 = -2x + 1
\n" ); document.write( "y = -2x + 1 - 2/3
\n" ); document.write( "y = -2x + 1/3
\n" ); document.write( "or multiply through by 3
\n" ); document.write( "3y = -6x + 1
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "
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