To derive the equation of the line representing the proportional relationship between inches and feet, we need to understand the relationship: there are 12 inches in a foot.
The relationship can be expressed in the form \( y = kx \), where \( k \) is the constant of proportionality. In this case, since there are 12 inches in each foot, the equation is:
\[ y = \frac{1}{12}x \]
Here's how the terms correspond:
- \( y \): the number of feet
- \( x \): the number of inches
- \( k = \frac{1}{12} \)
So the correct equation from your options is:
\[ y = \frac{1}{12}x \]
If presented with the format, it can also be written as:
\[ y = \frac{1}{12} x \]
This shows that for every inch (x), you have \( \frac{1}{12} \) of a foot (y).