The proportional relationship between inches and feet is displayed on the graph. Derive the equation of the line through the origin.

Question

(1 point)
Responses

y=36x
y equals 36 x

y=12x
y equals 12 x

y=112x
y equals Start Fraction 1 over 12 End Fraction x

y=2x

Answer 1

To derive the equation of the line representing the proportional relationship between inches (x) and feet (y), we can use the fact that there are 12 inches in a foot. This means that for every foot, there are 12 inches. The relationship can be expressed as:

\[ y = \frac{1}{12}x \]

So the equation of the line through the origin is:

y = \(\frac{1}{12}\)x

This corresponds to the option:

y = \(\frac{1}{12}x\)