What is the common difference for the sequence shown below? coordinate plane showing the points 1, 4; 4, 3; and 7, 2

Hence, the common difference in the y-value when there is a difference of 3 in x-value is -1.

The coordinate plane passes through the point:

(1,4) , (4,3) and (7,2)

Now the common difference of a sequence is calculated as the number which is obtained by subtracting a number from a number following it.

So, the common difference in the x-values is 3.

since 4-1=3

7-4=3

Similarly the common difference in y-values is: -1

since:

3-4= -1

2-3= -1