Answer:
y = -(1/3)x + 2
Step-by-step explanation:
Keeping in mind the equation of a line: y = mx + c
Notice three discernible points on the graph: (0,2), (3,1), (6,0).
The first and last points mentioned represent the intercept on y-axis and the intercept on x-axis respectively.
Therefore, when x = 0, y = 2. And 2 = m(0) + c
c = 2
Also, when y = 0, x = 6. And 0 = 6m + 2
6m = -2. And m = -(2/6) = -(1/3)
Therefore, y = -(1/3)x + 2