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

$\text{Gradient (m)} = \frac{y_2 - y_1}{x_2 - x_1}$

Given points are $(6, 1)$ and $(8, 9)$.

Let's substitute these into the formula:

$m = \frac{9 - 1}{8 - 6} = \frac{8}{2} = 4$

Therefore, the gradient of the line is 4.

Would you like more details on this, or do you have any other questions?

Here are 5 related questions:

1. How do you find the equation of the line using this gradient and one of the points?
2. What does the gradient tell you about the steepness of the line?
3. How do you calculate the gradient if the line passes through the origin?
4. Can you work out the midpoint of the line segment joining the points (6, 1) and (8, 9)?
5. What would the gradient be if the points were reversed?

Tip: The gradient of a line can be thought of as the rate of change in the y-values relative to the x-values.