What is the slope that passes through (4, 5) (9, 20)

slope = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m =

with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (9, 20)

m = = = 3

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.