Final answer:
To determine if line p and line q are parallel or perpendicular, compare their slopes. If the slopes are equal, the lines are parallel. If the slopes are negative reciprocals, the lines are perpendicular.
Step-by-step explanation:
To determine if line p and line q are parallel or perpendicular, we need to compare their slopes. If the slopes of the two lines are equal, then they are parallel. If the slopes are negative reciprocals of each other, then they are perpendicular.
To find the slope of a line, we can use the formula: slope = (change in y)/(change in x).
If the slopes of line p and line q are the same, then the lines are parallel. If the slopes are negative reciprocals of each other, then the lines are perpendicular.