To calculate the slope of the given line, we use the formula:

$\text{slope (m)} = \frac{\Delta y}{\Delta x}$

The slope is the change in $y$ divided by the change in $x$ between two points on the line.

Step 1: Identify two points on the line

From the graph:

• Point 1: (-25, -25)
• Point 2: (25, 25)

Step 2: Compute the slope

$\text{slope (m)} = \frac{y_2 - y_1}{x_2 - x_1}$ Substitute the values of the points: $\text{slope (m)} = \frac{25 - (-25)}{25 - (-25)} = \frac{25 + 25}{25 + 25} = \frac{50}{50} = 1$

Final Answer:

The slope of the line is: $\boxed{1}$

Let me know if you'd like a deeper explanation! Here are 5 related questions to explore further:

1. How would the slope change if the line became steeper?
2. What is the equation of the line in slope-intercept form given the slope and points?
3. How can you determine if two lines are parallel using their slopes?
4. What does a slope of 1 signify geometrically on the graph?
5. How does the slope formula relate to real-world scenarios?

Tip: When identifying points for calculating slope, always ensure they are clearly visible intersections on the grid for accuracy!