document.write( "Question 767985: Write an equation for a line perpendicular to y = -2x-5 and passing through the point (-6,-4)Step by step please.Thanks.
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Algebra.Com's Answer #467988 by Cromlix(4381)\"\" \"About 
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First obtain the slope of the
\n" ); document.write( "line y = -2x -5.
\n" ); document.write( "This = -2
\n" ); document.write( "Now lines that are perpendicular to one
\n" ); document.write( "another have slopes that multiply together
\n" ); document.write( "to give -1
\n" ); document.write( "So, slope 1 * slope 2 = -1
\n" ); document.write( "We have -2, so the other line is 1/2
\n" ); document.write( "as -2 * 1/2 = -1
\n" ); document.write( "We refer to the slope as the gradient
\n" ); document.write( "or as the letter 'm'
\n" ); document.write( "To set up the equation of the new line
\n" ); document.write( "we use the equation;
\n" ); document.write( "y - b = m(x - a)
\n" ); document.write( "We will be using coordinates (-6,-4)
\n" ); document.write( "a = -6, b = -4 and m = 1/2
\n" ); document.write( "y -(-4) = 1/2 (x -(-6)
\n" ); document.write( "y + 4 = 1/2(x + 6) (Multiply out)
\n" ); document.write( "y + 4 = 1/2x + 3
\n" ); document.write( "y = 1/2x + 3 - 4 (Bring 4 over (change sign to -ve))
\n" ); document.write( "y = 1/2x - 1
\n" ); document.write( "You can multiply thro by 2 to remove fractions.
\n" ); document.write( "2y = x - 2.
\n" ); document.write( "It just depends on how your teacher wants it displayed.
\n" ); document.write( "Hope this helps
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