Maths-
SAT
Easy

Question


Which of the following could be an equation for the graph shown in the x y-plane above?

  1. y equals negative 2 over 3 x plus 8 
  2. y equals negative 3 over 2 x plus 4 
  3. y equals negative 1 third x plus 4 
  4. y equals negative 4 over 3 x plus 8 

The correct answer is: y equals negative 1 third x plus 4


    intercepts of line are (0,4) and (12,0)
    The line equation is
    fraction numerator y minus y subscript 1 over denominator y subscript 2 minus y subscript 1 end fraction equals fraction numerator x minus x subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
    fraction numerator y minus 4 over denominator 0 minus 4 end fraction equals fraction numerator x minus 0 over denominator 12 minus 0 end fraction
    12(y - 4) = -4(x - 0)
    3(y-4) = -(x-0)
    3y – 12 = -x
    3y = -x + 12
    y equals fraction numerator negative 1 over denominator 3 end fraction x plus 4

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