A line passing through the point (12, –5) has a slope of One-third. Complete the work shown:

1. Substitute known values for m, x1, and y1:

2. Distribute the slope through the parentheses:

3. Distribute the slope through the parentheses:

4. Solve for the y-variable:

y minus (negative 5) = one-third (x minus 12). Y + 5 = one-third (x minus 12). Y + 5 = one-third x minus 4.

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)