To complete the table using the equation \( y = \frac{1}{4}x \), we can calculate the \( y \)-coordinate for each given \( x \)-coordinate:
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For \( x = 0 \): \[ y = \frac{1}{4}(0) = 0 \] So the ordered pair is \( (0, 0) \).
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For \( x = 4 \): \[ y = \frac{1}{4}(4) = 1 \] So the ordered pair is \( (4, 1) \).
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For \( x = 8 \): \[ y = \frac{1}{4}(8) = 2 \] So the ordered pair is \( (8, 2) \).
Now, we can fill in the completed table:
\[ \begin{array}{c|c|c} x & y & (x, y) \ \hline 0 & 0 & (0, 0) \ 4 & 1 & (4, 1) \ 8 & 2 & (8, 2) \ \end{array} \]