Final answer:
To find the values of p and r, we need to analyze the given equations and the information provided. Given that the graphs of y = px + w and y = rx + s are perpendicular, we know that the slopes of the two lines are negative reciprocals of each other. Therefore, p = -1/r.
Step-by-step explanation:
In order to find the values of p and r, we need to analyze the given equations and the information provided.
Given that the graphs of y = px + w and y = rx + s are perpendicular, we know that the slopes of the two lines are negative reciprocals of each other. This means that p = -1/r.
Given that p = 100|r|, we can substitute this equation into our previous equation to solve for r. Substituting p = -1/r into p = 100|r|, we get -1/r = 100|r|. Taking the absolute value of both sides, we have two cases: r = -1/100 and r = 1/100.
Therefore, the values of p and r are:
p = -100 (since p = -1/r)
r = -1/100 or r = 1/100