What is the slope of the line that passes through the points (-2, 10) and (8, 8)?

To find the slope of the line that passes through two points, we use the formula for the slope (\(m\)) of a line:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.

Given the points \((-2, 10)\) and \((8, 8)\), let's assign:

- \(x_1 = -2\), \(y_1 = 10\)
- \(x_2 = 8\), \(y_2 = 8\)

Now, substitute these values into the slope formula:

\[
m = \frac{8 - 10}{8 - (-2)}
\]

Simplify the expression:

\[
m = \frac{-2}{8 + 2} = \frac{-2}{10} = -\frac{1}{5}
\]

So, the slope of the line that passes through the points \((-2, 10)\) and \((8, 8)\) is \(-\frac{1}{5}\).

Would you like more details or have any questions?  

Here are 5 related questions to consider:

1. How do you find the equation of a line given two points?
2. What is the significance of the slope in a linear equation?
3. How can you determine if two lines are parallel or perpendicular using their slopes?
4. What happens to the slope if the order of points is reversed?
5. How do you find the slope of a vertical line?

**Tip:** The slope indicates the steepness and direction of a line. A positive slope means the line is rising, while a negative slope means it is falling.

Learn how to find the slope of a line passing through the points (-2, 10) and (8, 8). This problem involves applying the slope formula in coordinate geometry, which is essential for understanding linear equations and their properties. Suitable for students in Grades 7-9.

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