document.write( "Question 1020864: Write an equation of the line that is perpendicular to the given line and passes through the given point y=2x-1 (2,4) \n" ); document.write( "

Algebra.Com's Answer #636748 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "y = 2x - 1
\n" ); document.write( "Gradient = 2
\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( "Using gradient = 2
\n" ); document.write( "2 x m2 = -1
\n" ); document.write( "m2 = -1/2
\n" ); document.write( "Using line equation:
\n" ); document.write( "y - b = m(x - a)
\n" ); document.write( "m = -1/2
\n" ); document.write( "(a,b) = (2,4)
\n" ); document.write( "y - 4 = -1/2(x - 2)
\n" ); document.write( "y - 4 = -1/2x + 1
\n" ); document.write( "y = -1/2x + 1 + 4
\n" ); document.write( "y = -1/2x + 5
\n" ); document.write( "or multiply through by 2
\n" ); document.write( "2y = -x + 10
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

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