document.write( "Question 1180493: Find the equation of the line perpendicular to y = 3x + 1 that passes through the point (9, -5). Give your answer in the form ax + by + c = 0 \n" ); document.write( "
Algebra.Com's Answer #810178 by ankor@dixie-net.com(22740)\"\" \"About 
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Find the equation of the line perpendicular to y = 3x + 1 that passes through the point (9, -5).
\n" ); document.write( "Perpendicular slope formula: m1*m2 = -1
\n" ); document.write( "m1 = 3 in our equation, find m2, the slope of the perpendicular line
\n" ); document.write( "3m2 = - 1
\n" ); document.write( "m2 = -1/3
\n" ); document.write( "m2 = -1/3 is the slope of the perpendicular line
\n" ); document.write( "let the points be
\n" ); document.write( "x1 = 9, y1 = -5, use point/slope equation y - y1 = m(x-x1)
\n" ); document.write( "y - (-5) = \"-1%2F3\"(x - 9)
\n" ); document.write( "y + 5 = \"-1%2F3\"x + 3
\n" ); document.write( "y = \"-1%2F3\"x + 3 - 5
\n" ); document.write( "y = \"-1%2F3\"x - 2, is the equation\r
\n" ); document.write( "\n" ); document.write( " Give your answer in the form ax + by + c = 0
\n" ); document.write( "We would like everything to be a positive integer, mult above by -3
\n" ); document.write( "-3y = x + 6
\n" ); document.write( "arrange it then as
\n" ); document.write( "x + 3y + 6 = 0 is this form
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "you can check this by replacing x with 9 and y with -5, see if equality reigns! \n" ); document.write( "
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