Answer:
f(x) = 3x - 1
Step-by-step explanation:
The line can be represented in the form f(x) = mx + b, where m is the rate of change of the line and b is the value of the function when x = 0.
Looking at the graph, we can tell that when x = 0 the function = -1. (The point on the line and the y-axis).
We can also tell that when x increases by 1, y increases by 3. The points (0,-1) and (1, 2) are both on the line and their difference in x is 1 and their difference in y is 3.
The formula for slope (rate of change) is [tex]\frac{change\ in\ y}{change\ in\ x}[/tex], so m = [tex]\frac{3}{1}[/tex] or 3.
Now we have the equation for the line is f(x) = 3x - 1
