Write a rule for the linear function in the graph

Ok, so we know the slope-intercept form of a line, y=mx+b, with m being the slope and b being the y-intercept. We know that the y-intercept has to be negative, so that means A is not a viable option. We also know that the slope is up 4 units and to the right 1 unit. Therefore, the slope is (rise over run) +4/+1, or 4. Therefore, C is your best answer.

X is 0 because anything to the power of 0 is 1