To determine the slope of the line from the table of values, 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.

Using the points $(-7, 9)$ and $(3, -7)$:

$m = \frac{{-7 - 9}}{{3 - (-7)}} = \frac{{-16}}{{3 + 7}} = \frac{{-16}}{{10}} = -\frac{8}{5}$

Thus, the slope is $-\frac{8}{5}$, which corresponds to option B. $-\frac{8}{5}$.

Would you like more details on this process or have any questions?

Here are 5 related questions:

1. How do you find the slope when given two points?
2. What is the significance of a negative slope in a graph?
3. How would the line look graphically based on this slope?
4. Can the slope be calculated using any two points from the table?
5. What is the slope-intercept form of the equation for this line?

Tip: The slope tells you how much $y$ changes for every 1-unit change in $x$.