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=1/12x
y=12x
y=36x
points:(1,12)(2,24)(3,36)
To find the equation of the line, we need to determine the slope of the line. The slope represents the ratio between the y-values (in feet) and the x-values (in inches).
Using the given points, we can calculate the slope:
Slope = (Change in y)/(Change in x)
= (24-12)/(2-1)
= 12/1
= 12
The equation of the line can be written as y = mx, where m is the slope. Therefore, the equation of the line is:
y = 12x.
So the correct option is "y=12x".