Given the slope (m = 1/3), and the x-intercept, (0, 6):
We can solve for the y-intercept by plugging in the values of the slope, and the coordinates of (6,0) into the slope-intercept form: y = mx + b:
y = mx + b
0 = (1/3)(6) + b
0 = 2 + b
Subtract 2 from both sides to solve for b:
0 -2 = 2 + b - 2
-2 = b
Therefore, the y-intercept is (0, -2).