Final answer:
The equation of the line with a slope of 1/3 and a y-intercept of -4 in slope-intercept form is y = (1/3)x - 4.
Step-by-step explanation:
The equation of a line in slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y-intercept. The question specifies a slope (m) of 1/3 and a y-intercept (b) of -4. Hence, substituting these values into the slope-intercept formula gives us the equation of the line as y = (1/3)x - 4.