To find the slope $m$ of a line through two points, you can use the slope formula:

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

Given the points $(-10, 1)$ and $(0, -4)$, let's assign:

• $(x_1, y_1) = (-10, 1)$
• $(x_2, y_2) = (0, -4)$

Now substitute these values into the slope formula:

$m = \frac{-4 - 1}{0 - (-10)} = \frac{-4 - 1}{0 + 10} = \frac{-5}{10} = -\frac{1}{2}$

So, the slope of the line is:

$m = -\frac{1}{2}$

Would you like more details or have any questions?

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Here are some related questions you might explore:

1. What is the equation of the line through these two points?
2. How do you interpret a negative slope in a graph?
3. What is the y-intercept of the line passing through these points?
4. Can you find the slope if the two points were $(-10, 1)$ and $(5, 7)$?
5. How does the slope change if the two points were swapped?

Tip: When the slope is negative, the line slants downwards from left to right on a graph.