Final answer:
The slope of PQ is 0 because it is parallel to the x-axis with no change in y, and the slope of PS is undefined as it is a vertical line with no change in x.
Step-by-step explanation:
To calculate the slope of PQ and PS in a rectangle PQRS, where PQ and RS are parallel to the x-axis, we can apply the concept of slope in the algebra of straight lines. The slope of a line is defined as the rise over the run, which is the change in y over the change in x. For PQ, being parallel to the x-axis means there is no change in y, therefore the slope would be 0 (rise of 0 over any non-zero run).
For the line PS, which would be perpendicular to PQ, the slope would be undefined as this would be a vertical line meaning there is a change in y but no change in x. Hence, trying to calculate the slope would be dividing by zero, which is not defined.
So, the correct answer is A. Slope of PQ is 0, Slope of PS is undefined.