document.write( "Question 793248: Find an equation of the line containing the point (5,2) perpendicular to the line 3x-5y=10. \n" ); document.write( "
Algebra.Com's Answer #480309 by Cromlix(4381)\"\" \"About 
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Sort 3x - 5y = 10 into y = mx + c form.
\n" ); document.write( "-5y = -3x + 10
\n" ); document.write( "5y = 3x - 10
\n" ); document.write( "y = 3/5x - 2
\n" ); document.write( "Lines that are perpendicular to one
\n" ); document.write( "another have gradients that multiply
\n" ); document.write( "together to give -1
\n" ); document.write( "m1 * m2 = -1
\n" ); document.write( "The above line has a gradient of 3/5
\n" ); document.write( "so, line perpendicular to it has a
\n" ); document.write( "gradient of -5/3
\n" ); document.write( "Using point (5,2) and m = -5/3
\n" ); document.write( "y - b = m(x - a)
\n" ); document.write( "y - 2 = -5/3(x - 5)
\n" ); document.write( "y - 2 = -5/3x + 25/3
\n" ); document.write( "y = -5/3x + 25/3 + 6/3
\n" ); document.write( "y = -5/3x + 31/3
\n" ); document.write( "OR multiply thro' by 3
\n" ); document.write( "3y = -5x + 31.
\n" ); document.write( "Hope this helps.
\n" ); document.write( ":-) \n" ); document.write( "
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