To find the slope $m$ of the line that represents the data in the table, we can use the formula for slope between two points $(x_1, y_1)$ and $(x_2, y_2)$:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Looking at the table, we can choose any two pairs of $(x, y)$ values to calculate the slope. I'll select the first and the last pairs: $(x_1, y_1) = (1, 135)$ and $(x_2, y_2) = (5, 275)$.

Now, applying the slope formula:

$m = \frac{275 - 135}{5 - 1} = \frac{140}{4} = 35$

So, the slope $m = 35$.

This means that for each additional month, the total amount saved increases by $35.

Would you like a detailed explanation or have any questions?

Here are 5 related questions you might explore next:

1. What does the slope represent in the context of this problem?
2. Can the slope be calculated using different pairs of points? Will the result be the same?
3. How do you interpret the y-intercept in this situation?
4. How would the graph of these points look?
5. What if the savings amount increased at a different rate each month?

Tip: When interpreting slope in word problems, it helps to think of it as the "rate of change" for the dependent variable in relation to the independent variable.