The table completed using the graph is
x 6 8 10 12 14
y 1 3 5 7 9
Using the graph to complete the table
From the question, we have the following parameters that can be used in our computation:
x 6 8 10 14
y 1 3 7
Also, we have the attached graph
We can see that the graph is a linear function
By definition:
A linear function is represented as
y = mx + c
Where
m = slope
c = y-intercept
Using the points (6, 1) and (8, 3) on the graph, we have the following system
6m + c = 1
8m + c = 3
Subtract the equations
8m - 6m + c - c = 3 - 1
2m = 2
Divide by 2
m = 1
Recall that
6m + c = 1
So, we have
6(1) + c = 1
6 + c = 1
c = -5
Recall that
y = mx + c
So, we have
y = x - 5
The y value at x = 10 and x = 14 are calculated as
y = 10 - 5 = 5
y = 14 - 5 = 9
The x value at y = 7 is calculated as
x - 5 = 7
x = 12
So, the complete table of value is
x 6 8 10 12 14
y 1 3 5 7 9