Respuesta :

Answer:

The equation is;

y = 1/3x

Step-by-step explanation:

The equation of a linear model is given as;

y = mx + b

m is the slope while b is the y intercept

As we can see, the y intercept is the origin and that means b is zero

To get the value of m, the slope, we have to use the slope equation

We simply select any two points on the line

We have the points as (6,2) and (15,5)

The equation of the slope is:

m = (y2-y1)/(x2-x1)

(x1,y1) = (6,2)

(x2,y2) = (15,5)

m = (5-2)/(15-6) = 3/9 = 1/3

So the equation will be;

y = 1/3x