Final answer:
To move the line represented by y = 3x - 2 up 3 units, you add 3 to the constant term, resulting in the new equation y = 3x + 1, which shifts the line upward on the graph without changing its slope.
Step-by-step explanation:
The student has asked which change to the equation y = 3x - 2 would result in the entire line being moved up 3 units on the graph. To shift a line up by any number of units without changing its slope, you simply add that number to the y-intercept of the equation. In this case, you would add 3 to the constant term of -2, resulting in a new equation of y = 3x + 1. This maintains the slope of the line while increasing the y-coordinates of all points on the line by 3.