To find the \( y \)-coordinates for the ordered pairs using the equation \( y = \frac{1}{4}x \), we can substitute each value of \( x \) into the equation:
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For \( x = 0 \): \[ y = \frac{1}{4}(0) = 0 \] Ordered pair: \( (0, 0) \)
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For \( x = 4 \): \[ y = \frac{1}{4}(4) = 1 \] Ordered pair: \( (4, 1) \)
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For \( x = 8 \): \[ y = \frac{1}{4}(8) = 2 \] Ordered pair: \( (8, 2) \)
Now, we can fill in the table:
\[ \begin{array}{c|c|c} x & y & (x, y) \ \hline 0 & 0 & (0, 0) \ 4 & 1 & (4, 1) \ 8 & 2 & (8, 2) \ \end{array} \]