All four options show linear equations. This means the table of values is bound to show a constant rate of change. Examining the table, we see that x increases by 1 from one row to the next. Since we have a change in x of 1, the change in y between two rows will give us the equation's slope. Let's examine that change.
x: 1 +1 → 2
y: 1 +8 → 9
The slope is 8, which means our linear equation can be written in the form y=8x+b.
Let's finish the equation by determining the y-intercept b as well. We can do that by substituting one of the given points from the table of values in our equation and solving for b.
