Consider a line with a slope of $3$ and a $y$-intercept $\left(0, 2\right)$.   

1. Sketch the graph of this line.

2. Write the equation of the line.

3. What are the first four terms of the sequence $t\left(n\right) = 3n – 1$? Plot the points for the sequence on a new set of axes next to your graph from part (a).

4. Explain the similarities and differences between the graphs and equations in parts (a) through (c). Are both continuous?

   Use the eTool below to graph the parts of the problem as necessary.
   Click the link at right for the full version of the eTool: INT3 8-19 HW eTool.