The proportional relationship between inches and feet is displayed on the graph. Derive the equation of the line through the origin.
(1 point)
Responses
y=2x
y equals 2 x
y=12x
y equals 12 x
y=112x
y equals Start Fraction 1 over 12 End Fraction x
y=36x
y equals 36 x
The correct equation of the line through the origin representing the proportional relationship between inches and feet is:
y=12x
This is because there are 12 inches in a foot, so for every x inches, there will be y = 12x feet.
To derive the equation of the line through the origin that represents the proportional relationship between inches and feet, we can look at the graph.
From the graph, we can observe that as the x-coordinate (inches) increases by 1, the y-coordinate (feet) increases by a specific amount.
Since the relationship is proportional, this specific amount should be a constant.
By examining the graph, we can see that for every 12 inches, the value of y (feet) increases by 1.
Therefore, the equation of the line through the origin is:
y = 1/12x
This equation represents the proportional relationship between inches (x) and feet (y).