To find the slope $m$ of the line, we can use the slope formula between two points:

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

Looking at the table, we can pick any two points. Let's use the first two points:

• $(x_1, y_1) = (2, -5)$
• $(x_2, y_2) = (6, -10)$

Now, substitute these values into the slope formula:

$m = \frac{-10 - (-5)}{6 - 2} = \frac{-10 + 5}{4} = \frac{-5}{4}$

Thus, the slope $m$ is $-\frac{5}{4}$.

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:

1. How does changing the two points selected from the table affect the slope calculation?
2. Can you calculate the slope using different pairs of points from the table to verify the consistency?
3. What is the equation of the line that passes through the points in the table?
4. How would the slope change if all $y$-values were increased by 3 units?
5. How can the slope formula help in identifying parallel or perpendicular lines?

Tip: When calculating slope, ensure the points are substituted correctly in the formula to avoid sign errors.