Final answer:
The line represented by the equation y = 7 + 1x - 2 appears in quadrants I and II because the slope is positive and the y-intercept is negative.
Step-by-step explanation:
The graph of the equation y = 7 + 1x - 2 appears in quadrants I and II only. This is because the slope (coefficient of x) is positive (1), indicating a line that rises as you move to the right, and the y-intercept is negative (-2), which means the line crosses the y-axis below the origin. Quadrants I and II are the only quadrants where this combination of slope and y-intercept is possible.