Final answer:
In the equation y = 9 + 3x, the y-values increase by adding 3 from one interval to the next. The number 3 represents the coefficient of x, indicating how much y changes for each unit increase in x.
Step-by-step explanation:
In the equation y = 9 + 3x, the y-values are increasing by adding 3 from one interval to the next. This means that as x increases by 1, the corresponding y-value increases by 3. For example, if x = 1, y = 9 + 3(1) = 12. If x increases to 2, y = 9 + 3(2) = 15.
The 3 in the equation represents the coefficient of x or the m term. It determines how much y changes for each unit increase in x. In this case, y increases by 3 for every 1 unit increase in x.