document.write( "Question 299437: What is the equation of a line perpendicular to 4x+2y=24? \n" ); document.write( "
Algebra.Com's Answer #215150 by alanc(27)\"\" \"About 
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given line : 4x + 2y = 24. Convert it to Slope intercept form.
\n" ); document.write( "2y = -4x + 24\r
\n" ); document.write( "\n" ); document.write( "y = -2x + 12\r
\n" ); document.write( "\n" ); document.write( "Here our slope is -2\r
\n" ); document.write( "\n" ); document.write( "a line perpendicular to this line is one with slope m , such that m*(-2) = -1\r
\n" ); document.write( "\n" ); document.write( "so m = 1/2\r
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\n" ); document.write( "\n" ); document.write( "therefore a general form of the equation that is perpendicular to 4x + 2y = 24 is
\n" ); document.write( "y = 0.5x + b\r
\n" ); document.write( "\n" ); document.write( "or -x + 2y = 2b
\n" ); document.write( "where b is any real number, if we want this perpendicular line to have a common point with 4x + 2y = 24, we can choose (0, 12)
\n" ); document.write( "b=12 then since 0 + 2* 12 = 2 * b\r
\n" ); document.write( "\n" ); document.write( "one form is -x + 2y = 24\r
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\n" ); document.write( "\n" ); document.write( "Sincerely Alan\r
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