Maths-
SAT
Easy

Question


For the linear function h, the table above shows several values of x and their corresponding values of h(x). Which of the following defines h?

  1. h(x) = 2x - 3
  2. h(x) = 3x - 5
  3. h(x) = 4x - 7
  4. h(x) = 4x - 9

The correct answer is: h(x) = 3x - 5


    The linear equation from two points 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
    The points here are (2, 1) & (4, 7)
    fraction numerator y minus 1 over denominator 7 minus 1 end fraction equals fraction numerator x minus 2 over denominator 4 minus 2 end fraction
    fraction numerator y minus 1 over denominator 6 end fraction equals fraction numerator x minus 2 over denominator 2 end fraction
    y - 1 = 3(x - 2)
    y = 3x - 6 + 1 = 3x - 5
    h(x) = 3x - 5

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