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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

Use the point-slope form.

\[ y - 6 = -\frac{4}{3}(x + 3) \]

\[ 3y - 18 = -4x - 12 \quad\Longrightarrow\quad 4x + 3y = 6 \]

Checking: at \( (-3, 6) \), \( -12 + 18 = 6 \).

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