To find the slope of the line that passes through the points given in the table, we use the slope formula:

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

where $(x_1, y_1)$ and $(x_2, y_2)$ are two points on the line. Let's choose two points from the table, say $(-9, -2)$ and $(-5, 0)$.

Step 1: Calculate the slope

$m = \frac{0 - (-2)}{-5 - (-9)} = \frac{2}{4} = \frac{1}{2}$

The slope of the line is $\frac{1}{2}$.

Would you like to see a more detailed explanation or have any other questions?

Related Questions:

1. How would the slope change if the points were different?
2. What does a slope of $\frac{1}{2}$ indicate about the line?
3. Can you find the equation of the line using the slope and one point?
4. What would the y-intercept of this line be?
5. How can you determine if other points lie on this line?

Tip:

Remember, the slope represents the rate of change in $y$ for a unit change in $x$. If the slope is positive, the line rises from left to right. If it’s negative, the line falls from left to right.