Final answer:
To write the equation of a line with a slope of -1/3 and a y-intercept of 0, we use the slope-intercept form, resulting in the equation y = -1/3x.
Step-by-step explanation:
The student's question is regarding how to write the equation of a line with a given slope and y-intercept. The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept. Since the problem provides a slope of -1/3 and a y-intercept of 0, the equation of the desired line is y = (-1/3)x + 0, which simplifies to y = -1/3x.