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Which of the following linear equations describes that relationship?

O A. f(x) = x + 3
B. f(x) = 3x - 1
C. f(x) = 2x + 1
O D. f(x) = 4x - 3

Which of the following linear equations describes that relationship? O A. f(x) = x-example-1

1 Answer

7 votes

Answer:

  • D. f(x) = 4x - 3

Explanation:

Use two pairs of points to work out the equation:

  • (1, 1) and (2, 5)

Find the slope:

  • m = (5 - 1) / (2 - 1) = 4/1 = 4

Find the y-intercept:

  • 1 = 4*1 + b
  • b = 1 - 4
  • b = - 3

The line is:

  • f(x) = 4x - 3

Correct choice is D

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