The proportional relationship between inches and feet is displayed on the graph. Derive the equation of the line through the origin. (12,1)(24,2)(36,3)(0,0)
y=112x
y=36x
y=12x
y=2x
To find the equation of the line passing through the origin that represents the relationship between inches and feet, we first need to determine the slope of the line. The slope is the change in y divided by the change in x. From the points given, we can see that every 12 inches corresponds to 1 foot, so the slope is 1/12.
Therefore, the equation of the line passing through the origin in slope-intercept form (y = mx) is y = (1/12)x.
So, the correct equation is y = 1/12x.