To determine the slope of the line and its relationship to the number of meals prepared and the number of days, we first need to clarify what the points represent. The slope of a line is calculated using the formula:
\[ \text{slope} (m) = \frac{\text{change in y}}{\text{change in x}} = \frac{y_2 - y_1}{x_2 - x_1} \]
In the context of preparing meals over days, if we assume that one coordinate (x) represents the number of days and the other coordinate (y) represents the number of meals prepared, we can analyze the given points.
Assuming (5, 30) is one of the points, we need another point to calculate the slope. If we have another point, we can calculate the slope using the formula.
Without a second point, we can only interpret the possible slopes:
- A positive slope (like 6) would indicate that as the number of days increases, the number of meals prepared increases.
- A negative slope (like -6) would indicate that as the number of days increases, the number of meals prepared decreases.
- A slope of 0 would mean that the meals prepared do not change with the number of days.
Based on the options provided, it seems the likely positive slope that means meals are increasing over days would be 6. If that aligns with the overall context, then the answer is 6.
If you could specify another point, I could help you verify this with the slope calculation!