Write a linear equation that passes through the points (-3,3) and (9,-13) !

Step-by-step explanation:

y = mx + b

m = delta y / delta x

m = (-13 - 3) / [(9 - (-3)]

m = -16/12

m = -4/3

From (-3 | 3) we know that when x = -3, y = 3

Placing into equation to find b

3 = (-4/3)*-3 + b

3 = 12/3 + b  

b = -1

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.