To calculate the slope between two points, we use the slope formula:

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

Here, the points are $(-3, -4)$ and $(7, 6)$. Plugging these into the formula:

$m = \frac{6 - (-4)}{7 - (-3)} = \frac{6 + 4}{7 + 3} = \frac{10}{10} = 1$

Final Answer:

The slope between the points $(-3, -4)$ and $(7, 6)$ is $1$.

Would you like to see more detailed steps or have any related questions?

Relative Questions:

1. What is the slope of a line parallel to this one?
2. What is the equation of the line passing through these points?
3. How would the slope change if one of the points shifted?
4. Can slope be undefined, and how would that occur?
5. How do slopes relate to angles of inclination?

Tip:

To verify your slope, always double-check the sign changes in your subtraction of coordinates!