To find a point that lies on the line represented by the equation \( y - 5.5 = \frac{4}{1}(x + 2) \), we can first simplify the equation.
The equation can be rewritten as:
\[ y - 5.5 = 4(x + 2) \] \[ y - 5.5 = 4x + 8 \] \[ y = 4x + 8 + 5.5 \] \[ y = 4x + 13.5 \]
Now we will check each of the provided points to see if they satisfy this equation.
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For the point (5.5, -2): \[ y = -2 \] \[ 4(5.5) + 13.5 = 22 + 13.5 = 35.5 \quad (\text{not } -2) \]
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For the point (-5.5, 2): \[ y = 2 \] \[ 4(-5.5) + 13.5 = -22 + 13.5 = -8.5 \quad (\text{not } 2) \]
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For the point (2, -5.5): \[ y = -5.5 \] \[ 4(2) + 13.5 = 8 + 13.5 = 21.5 \quad (\text{not } -5.5) \]
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For the point (-2, 5.5): \[ y = 5.5 \] \[ 4(-2) + 13.5 = -8 + 13.5 = 5.5 \quad (\text{is } 5.5) \]
The point that satisfies the equation \( y = 4x + 13.5 \) is (-2, 5.5).
Thus, the answer is:
\[ \boxed{(-2, 5.5)} \]