document.write( "Question 274169: Please help! I am confused on how to work this problem.\r
\n" ); document.write( "\n" ); 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)\"\" \"About 
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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 = +\"1%2F8\" is the slope of the perpendicular line
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\n" ); document.write( "The y intercept of this line = 6; (two units below the given equation)
\n" ); document.write( "therefore:
\n" ); document.write( "y = \"1%2F8\"x + 6; the equation of the perpendicular line
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\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 = \"1%2F8\"x + 6
\n" ); document.write( "-8x = \"1%2F8\"x + 6 -8
\n" ); document.write( "-8x = \"1%2F8\"x - 2
\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 = +\"16%2F65\"
\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
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\n" ); document.write( "Check in the other equation
\n" ); document.write( "y = \"1%2F8\"(.246) + 6
\n" ); document.write( "y = 6.03
\n" ); document.write( ":
\n" ); document.write( "equations intersect at x=.246, y=6.03
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\n" ); document.write( "\"+graph%28+300%2C+300%2C+-7%2C+7%2C+-3%2C+7%2C+-8x%2B8%2C+.125x%2B6%29+\"
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