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Discussion

The equation of the line whose slope is -4/3 and which passes through (-3, 6) is:

  • A.4x + 3y = 6
  • B.4x - 3y = 6
  • C.3x + 4y = 6
  • D.3x - 4y = 6

Answer: A

Using the point-slope form y - y₁ = m(x - x₁):

y - 6 = -4/3 (x - (-3))

y - 6 = -4/3 (x + 3)

3(y - 6) = -4(x + 3)

3y - 18 = -4x - 12

4x + 3y = -12 + 18

4x + 3y = 6

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