What is the equation on point slope form of a line that passes through the point -4, - 1 and 5, 7

The equation of the line is c)  

Step-by-step explanation:

Here, the two points are (x1, y1) = (-4,-1)  and (x2, y2)= (5,7)

So, the slope of the line joining two points  

Here,

Also, by POINT SLOPE formula line equation is:

(y - y0) = m (x - x0) ; here  m = slope and (x0, y0) is a point on line

So, here the  equation of line is:

Hence,the equation of the line is c)  

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.