To find the y-coordinates for the equation \( y = \frac{1}{4}x \), you can substitute various values for \( x \) into the equation. Below are some example calculations for different \( x \) values:
| \( x \) | \( y = \frac{1}{4}x \) | |---------|------------------------| | 0 | \( \frac{1}{4} \cdot 0 = 0 \) | | 4 | \( \frac{1}{4} \cdot 4 = 1 \) | | 8 | \( \frac{1}{4} \cdot 8 = 2 \) | | 12 | \( \frac{1}{4} \cdot 12 = 3 \) | | 16 | \( \frac{1}{4} \cdot 16 = 4 \) | | 20 | \( \frac{1}{4} \cdot 20 = 5 \) |
Based on the calculations above, the table will look like this:
| \( x \) | \( y \) | |---------|---------| | 0 | 0 | | 4 | 1 | | 8 | 2 | | 12 | 3 | | 16 | 4 | | 20 | 5 |
You can choose any other values for \( x \) in a similar manner to find corresponding \( y \) values.