First, let's choose two points from the table to solve for our slope.
(0, -1) and (1, 4)
Slope = (4 -(-1)) / (1 - 0) = 5/1 = 5
The slope of our line is equal to 5
So far we have y = 5x + b
To solve for be, we need to plug one of our points into the equation.
-1 = 5(0) + b
Simplify
-1 = b
So, our equation: y = 5x -1