1. **State the problem:** We have a graph showing average temperature in Fairbanks, Alaska over a three-week period. The x-axis represents time in days from January 1, and the y-axis represents temperature in degrees Celsius. 2. **Label the axes:** - The independent variable is time, so the x-axis is labeled "Time (days from January 1)". - The dependent variable is temperature, so the y-axis is labeled "Temperature (degrees Celsius)". 3. **Create a table of values from the graph points:** From the graph, two points are given: (2, 2) and (4, 4). | Time (days) | Temperature (°C) | |-------------|-----------------| | 2 | 2 | | 4 | 4 | 4. **Describe the meaning of each point:** - At day 2 (January 3), the average temperature was 2 degrees Celsius. - At day 4 (January 5), the average temperature was 4 degrees Celsius. 5. **Additional observations:** The line has a positive slope, indicating temperature increases over time. 6. **Equation of the line:** Using points (2,2) and (4,4), slope $m=\frac{4-2}{4-2}=1$. Equation: $$y = mx + b$$ Substitute $m=1$ and point (2,2): $$2 = 1 \times 2 + b \Rightarrow b = 0$$ So, $$y = x$$ This means temperature in degrees Celsius equals the number of days from January 1.