Question

Complete the auto pairs in the table by finding the y coordinates of the auto parts for the equation.Why equals one over four x

Answer 1

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.