document.write( "Question 1041215: Q: Find the constant k so that the perpendicular bisector of the line segment with end points (k , 0) and (4 , 6) has a slope 0f -3. \r
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document.write( "A) 4
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document.write( "B) -14
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document.write( "C) 6
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document.write( "D) 22
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document.write( "E) 0 \n" );
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Algebra.Com's Answer #656173 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! The perpendicular bisector has a slope of (1/3), the negative reciprocal of -3. \n" ); document.write( "Therefore, (6-0)/(4-k), the slope, must equal (1/3) \n" ); document.write( "cross multiply, and 4-k=(6*3)=18 \n" ); document.write( "k=-14, or B. ANSWER \n" ); document.write( "(-14,0) and (4,6) has a slope of 1/3. (the equation of the line is y=(1/3)x+(14/3) \n" ); document.write( "the midpoint is (-5,3), so the equation of the perpendicular bisector is y-3=-3(x+5), or y=-3x-12 \n" ); document.write( " |