To find the y-coordinates for the ordered pairs based on the equation \( y = \frac{1}{4}x \), we'll substitute each x-value into the equation.
-
For \( x = 0 \): \[ y = \frac{1}{4}(0) = 0 \] So the ordered pair is \( (0, 0) \).
-
For \( x = 4 \): \[ y = \frac{1}{4}(4) = 1 \] So the ordered pair is \( (4, 1) \).
-
For \( x = 8 \): \[ y = \frac{1}{4}(8) = 2 \] So the ordered pair is \( (8, 2) \).
Now we can complete the table:
\[ \begin{array}{c|c} x & y \ \hline 0 & 0 \ 4 & 1 \ 8 & 2 \ \end{array} \]
The completed ordered pairs are \( (0, 0) \), \( (4, 1) \), and \( (8, 2) \).