1. A line, y = mx + b, passes through the point (1,6) and is parallel to y = 4x + 6. What is the value of b?

2. A set of nine data points is shown below. Which statement is true if a tenth data point of 45 is added to the data set?

8 11 12 10 9 7 5 3 9

A. The mean and median will both increase.
B. The mean will increase and the median will decrease.
C. The mean will increase and the median will remain the same.
D. The mean and the median will both decrease.

2 answers

y = mx+b, so plug in your point:
6 = 4*1 + b
...

since 45 is larger than any of the existing values, the mean will rise.
since there are no duplicate values, the median will also rise.
(note that if the two center values were equal, the median might stay the same - why?
Thank you! The median might stay the same because they are the same?