The porportional relationship between inches and feet is displayed on the graph. Derive the equation of the line through the origin the options are y=1/12x, y=2x, y=36x, or y=12x

To find the equation of the line that passes through the origin on the graph displaying the proportional relationship between inches and feet, we need to determine the slope of the line.

From the graph, we can see that for every 12 inches (x-axis), there are 1 foot (y-axis). This means that the slope of the line is 1/12.

Therefore, the equation of the line that passes through the origin is:
y = (1/12)x

So, the correct option is y = 1/12x.