1. **State the problem:** We are given points (2, 2) and (6, -1) on a graph and asked to identify whether the graph represents an arithmetic sequence, geometric sequence, linear function, or exponential function. 2. **Recall definitions:** - An **arithmetic sequence** has a constant difference between consecutive terms. - A **geometric sequence** has a constant ratio between consecutive terms. - A **linear function** has the form $y = mx + b$ where $m$ is the slope and $b$ is the y-intercept. - An **exponential function** has the form $y = a \cdot b^x$ where $b > 0$ and $b \neq 1$. 3. **Calculate the slope $m$ of the line passing through the points:** $$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - 2}{6 - 2} = \frac{-3}{4} = -0.75$$ 4. **Find the equation of the line:** Using point-slope form with point (2, 2): $$y - 2 = -0.75(x - 2)$$ Simplify: $$y - 2 = -0.75x + 1.5$$ $$y = -0.75x + 3.5$$ 5. **Interpretation:** The equation is linear with a negative slope, matching the description of a decreasing linear trend. 6. **Check if it fits other types:** - Arithmetic sequence: The points are not equally spaced in x with constant difference in y for consecutive terms. - Geometric sequence: The ratio of y-values is not constant. - Exponential function: The points do not fit $y = a \cdot b^x$ with constant ratio. **Final answer:** The graph best represents a **linear function**.