What is the slope of the line through 
\[(-10,1)\] and 
\[(0,-4)\]?

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.

What is the slope of the line through (-10,1) and (0,-4)?

Learn how to calculate the slope of a line passing through the points (-10,1) and (0,-4) using the slope formula. This step-by-step guide explains key concepts in algebra and coordinate geometry, ideal for students in Grades 8-10.

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