Final answer:
The equation of the line is y = (1/3)x + 2.
Step-by-step explanation:
The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept.
Given that the line has a slope of 1/3 and passes through the point (-3,1), we can substitute the values into the equation to find the equation of the line.
Using the point-slope formula, y - y1 = m(x - x1), we have y - 1 = (1/3)(x - (-3)). Simplifying this equation gives us y = (1/3)x + 2.