document.write( "Question 970432: What is the equation of the line that is perpendicular to -x + y = 7 and passes through (-1, -1)?\r
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document.write( "a)-x + y = 2\r
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document.write( "b)-x – y = 2\r
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document.write( "c)x – y = 2\r
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document.write( "d)-x – y = 0\r
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document.write( "e)x + y = 0 \n" );
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Algebra.Com's Answer #593048 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! -x + y = 7 \n" ); document.write( "standard slope - intercept form for this equation is \n" ); document.write( "y = x + 7 \n" ); document.write( "slope is 1 and the slope of the line perpendicular is -1 (negative reciprocal) \n" ); document.write( "so far we have \n" ); document.write( "y = -x + b \n" ); document.write( "now use the point (-1, -1) \n" ); document.write( "-1 = -(-1) + b \n" ); document.write( "-1 = 1 + b \n" ); document.write( "b = -2 \n" ); document.write( "y = -x - 2 \n" ); document.write( "add x to both sides of = \n" ); document.write( "x + y = -2 \n" ); document.write( "multiply both sides of = by -1 \n" ); document.write( "-x -y = 2 \n" ); document.write( "answer is b \n" ); document.write( " \n" ); document.write( " |