A line passes through the point (2,-6) and has an initial value of 6. What is the rate of change for this line? A. -12
B. -6
C. -1/6
D. 6

-6

We assume "initial value" means the y-intercept is (0, 6). The rate of change is the "rise" divided by the "run" between the two points.

rise = -6 -6 = -12 . . . . difference of y-values

run = 2 -0 = 2 . . . . . . difference of corresponding x-values

rate of change = rise/run = -12/2 = -6

The rate of change of this line is -6.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.