document.write( "Question 274169: Please help! I am confused on how to work this problem.\r
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document.write( "Give the equation of a line perpendicular to the line y = -8x + 8 having the y-intercept 2 units below the y-intercept of the given equation. At what point the two equations cross each other?\r
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Algebra.Com's Answer #200248 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Give the equation of a line perpendicular to the line y = -8x + 8 having the y-intercept 2 units below the y-intercept of the given equation. \n" ); document.write( "Find the slope of perpendicular line (m1) \n" ); document.write( "The slope of the given equation is -8 \n" ); document.write( ": \n" ); document.write( "m1 * -8 = -1; (the slope relationship between perpendicular lines) \n" ); document.write( "m1 = + \n" ); document.write( ": \n" ); document.write( "The y intercept of this line = 6; (two units below the given equation) \n" ); document.write( "therefore: \n" ); document.write( "y = \n" ); document.write( ": \n" ); document.write( "At what point the two equations cross each other? \n" ); document.write( "When y's are equal, find x: \n" ); document.write( "-8x + 8 = \n" ); document.write( "-8x = \n" ); document.write( "-8x = \n" ); document.write( "multiply by 8 to get rid of the denominator, results: \n" ); document.write( "-64x = x - 16 \n" ); document.write( "-64x - x = -16 \n" ); document.write( "-65x = -16 \n" ); document.write( "x = + \n" ); document.write( "x = .246 \n" ); document.write( ": \n" ); document.write( "Find y using the given equation \n" ); document.write( "y = -8(.246) + 8 \n" ); document.write( "y = 6.03 \n" ); document.write( ": \n" ); document.write( "Check in the other equation \n" ); document.write( "y = \n" ); document.write( "y = 6.03 \n" ); document.write( ": \n" ); document.write( "equations intersect at x=.246, y=6.03 \n" ); document.write( ": \n" ); document.write( " |