We are given a table between two variables x and y.
Recall that the equation of a linear relationship is given by

Where m is the slope and b is the y-intercept.
The slope is given by

Let us select two (x, y) pairs from the given table
Let us select (1, 6) and (2, 7)

Let us substitute these values into the slope formula

So, the slope is 1 and the equation becomes

Now let us find the y-intercept (b)
Let us select any one (x, y) pair from the given table.
Let us select (1, 6) and substitute it into the above equation

Therefore, the equation is

The last option is the correct answer.