The slope of the linear model y=10x+1 is 10, so the difference in y-values between any two points is 10 times the difference in their corresponding x-values. Looking at the table, we see that the difference in x-values between 6 and 2 is 4, so the difference in y-values between those two points should be 4 times 10, which is 40.
Starting from y=21 at x=2, if we go down 40 units (because we want the difference in y-values to be negative), we get y=-19. Therefore, the answer is B) -8, because 2-(-6) = 8.
A linear model is given for the data in the table: y=10x+1
X y
1 9
2 21
3 29
4 41
5 49
6 61
7 69
A) 8
B) -8
C) -16
D) 16
1 answer