How the graph of y=2x is the same and different from the graph of y=2x-7

The graphs have the same slope  (2) and are parallel

The difference is the y intercept

y = 2x has as y intercept of 0

where y = 2x-7 has a y intercept of -7

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.