Answer:
The sequence is arithmetic
we know that
In an arithmetic sequence, the difference between consecutive terms is always the same and is called common difference
In this problem we have
3,9,15,21,...
Let
a1=3, a2=9,a3=15,a4=21
a4-a3=21-15=6
a3-a2=15-9=6
a2-a1=9-3=6
The sequence is arithmetic
The common difference is equal to
I could use the points so if you want to mark this as helpful that would be cool :)
A because the line is only going through the graph and hitting each point once
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

so we're really looking for the equation of a line whose slope is 2 and passes through (4 , -3)
