Answer:
The slope of a line represents the rate of change between two variables. In this case, the slope represents the change in annual sales (y) for a one-year increase in time (x). Let's interpret the change in annual sales for each given slope:
(a) A slope of m = 135 means that for every one-year increase in time, the annual sales increase by 135 units. For example, if the initial annual sales were 1000 units, after one year, the annual sales would be 1000 + 135 = 1135 units. This indicates a significant positive increase in annual sales over time.
(b) A slope of m = 0 means that for every one-year increase in time, there is no change in annual sales. This suggests that the annual sales remain constant over time. For example, if the initial annual sales were 1000 units, after one year or ten years, the annual sales would still be 1000 units.
(c) A slope of m = -40 means that for every one-year increase in time, the annual sales decrease by 40 units. For example, if the initial annual sales were 1000 units, after one year, the annual sales would be 1000 - 40 = 960 units. This indicates a negative decrease in annual sales over time.
In summary, the slope of a line tells us how the annual sales change for a one-year increase in time. A positive slope represents an increase in sales, a slope of zero represents no change, and a negative slope represents a decrease in sales.
Explanation:
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