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.