To find the slope of a line from its graph, you typically calculate the "rise over run." This means determining how much the line goes up or down (rise) for every unit it moves left or right (run).
If the slope is represented as "rise/run" and you have specific values given (like 3, 6, -3, and 13), you would need to visually analyze the graph to determine which of these values correctly represents the slope.
Since I can't see the graph, I can guide you through the process:
- Select two points on the line: Note their coordinates (x₁, y₁) and (x₂, y₂).
- Calculate the rise: This is the difference in the y-coordinates: \( \text{rise} = y₂ - y₁ \).
- Calculate the run: This is the difference in the x-coordinates: \( \text{run} = x₂ - x₁ \).
- Calculate the slope: Using the formula \( \text{slope} = \frac{\text{rise}}{\text{run}} \).
After you have calculated the slope from the graph, compare your result to the provided options of 3, 6, -3, and 13 to select the correct answer.
If you have the coordinates of any two points from the graph, please share them, and I can help calculate the slope based on that.