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To find the gradient (or slope) of the line passing through the points \((6, 2)\) and \((10, -2)\), we use the slope formula:

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

Here:
- \((x_1, y_1) = (6, 2)\)
- \((x_2, y_2) = (10, -2)\)

Substituting the values into the formula:

\[
m = \frac{-2 - 2}{10 - 6} = \frac{-4}{4} = -1
\]

Thus, the gradient of the line is **-1**.

Would you like further details on how this was solved, or have any other questions?

Here are 5 related questions to expand your understanding:
1. How do you find the equation of a line given two points?
2. What does the gradient represent in the context of a line on a graph?
3. How would the gradient change if the points were reversed?
4. What happens if both points are the same? What is the slope then?
5. Can a vertical line have a defined gradient?

**Tip**: The gradient indicates how steep a line is. A negative gradient means the line slopes downwards from left to right.

Find the gradient of the line which passes through the points (6, 2) and (10, -2).

Learn how to find the gradient of a line that passes through the points (6, 2) and (10, -2). This step-by-step solution explains the slope formula and applies it to calculate the gradient, which is -1. Suitable for students in Grades 6-8.

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