document.write( "Question 205848: Solve the problem.\r
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document.write( "Give the equation of the line that is perpendicular to the line y = -3x + 7 and passes through point (0, -6).
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Algebra.Com's Answer #155445 by nerdybill(7384) You can put this solution on YOUR website! Give the equation of the line that is perpendicular to the line y = -3x + 7 and passes through point (0, -6). \n" ); document.write( ". \n" ); document.write( "The slope of: \n" ); document.write( "y = -3x + 7 \n" ); document.write( "is -3 \n" ); document.write( ". \n" ); document.write( "A line perpendicular, then, must be the negative reciprocal or 1/3. \n" ); document.write( ". \n" ); document.write( "Therefore, our new line: \n" ); document.write( "m = 1/3 \n" ); document.write( "and crossing: \n" ); document.write( "(0, -6) \n" ); document.write( ". \n" ); document.write( "Plug that into the \"point slope\" form: \n" ); document.write( "y - y1 = m(x-x1) \n" ); document.write( "y - (-6) = (1/3)(x-0) \n" ); document.write( "y + 6 = (1/3)(x) \n" ); document.write( "y = (1/3)(x) - 6 (this is what they're looking for) \n" ); document.write( " \n" ); document.write( " |