To find the slope of the line, we use the slope formula:

$m = \frac{{y_2 - y_1}}{{x_2 - x_1}}$

Here, the points given on the line are $(2, 4)$ and $(6, 6)$, where:

• $(x_1, y_1) = (2, 4)$
• $(x_2, y_2) = (6, 6)$

Substituting these into the slope formula:

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

Thus, the slope of the line is $\frac{1}{2}$.

Would you like more details or have any questions?

Here are 5 follow-up questions:

1. How do we interpret the slope $\frac{1}{2}$ in terms of rise and run?
2. What is the equation of the line in slope-intercept form?
3. How would the line change if the slope were negative?
4. What does a slope of 0 indicate about the direction of a line?
5. How do we find the y-intercept from this graph?

Tip: The slope of a line indicates the steepness and direction. A positive slope means the line rises as it moves from left to right, and a negative slope means it falls.