Final answer:
The equation y = -x - 1/2 is already in the slope-intercept form with a slope of -1 and a y-intercept of -1/2.
Step-by-step explanation:
The student has asked for the equation of a line to be determined in slope-intercept form, specifically the equation y = -x - 1/2. According to the slope-intercept form of a linear equation, which is y = mx + b, the coefficient of x represents the slope and the constant term represents the y-intercept.
In this case, the given equation already is in the slope-intercept form where the slope (m) is -1 (since -x is the same as -1*x), and the y-intercept (b) is -1/2. Therefore, the slope of the line is -1, indicating that for every unit increase in x, y decreases by 1. The y-intercept is the point at which the line crosses the y-axis, which is at point (0, -1/2).