To find the slope of a line passing through two points $(-3, -12)$ and $(-4, 7)$, we use the slope formula:

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

Where:

• $(x_1, y_1)$ is $(-3, -12)$
• $(x_2, y_2)$ is $(-4, 7)$

Now substitute the values into the formula:

$m = \frac{7 - (-12)}{-4 - (-3)} = \frac{7 + 12}{-4 + 3} = \frac{19}{-1} = -19$

So, the slope of the line is $m = -19$.

Would you like any further details or clarifications?

Here are 5 related questions:

1. How would you find the equation of the line using this slope?
2. What is the significance of a negative slope?
3. How can you verify the slope using a graph?
4. What does it mean if the slope is undefined?
5. How would the slope change if the coordinates were swapped?

Tip: Always check the order of subtraction when calculating slope to avoid sign errors!