Final answer:
The slope of line q is -3.
Step-by-step explanation:
The slope of a line represents its steepness and direction. In this case, since lines p and q are parallel, they have the same slope.
To find the slope of line q, we can use the formula:
slope = (change in y)/(change in x)
Using the given points (0, 1) and (1, -2) on line q, the change in y is -2 - 1 = -3 and the change in x is 1 - 0 = 1.
Therefore, the slope of line q is -3/1, which simplifies to -3.