Final answer:
The slope-intercept form of the given line is y = 7/4x - 4.
Step-by-step explanation:
To write the slope-intercept form of a line, we need to identify the slope and the y-intercept. In the given equation, y = ⅓x - 4, the coefficient of x, which is ⅓, represents the slope.
The constant term, -4, represents the y-intercept. Therefore, the slope-intercept form of the line is y = ⅓x - 4.