The image shows a graph with a linear line passing through several points. The task is to find the slope of the line.

The slope ($m$) of a line is calculated using the formula:

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

This formula represents the "rise" over the "run," or the change in $y$ over the change in $x$, between two points on the line.

Let's pick two clear points from the graph:

• Point 1: (-10, -10)
• Point 2: (0, 0)

Using these points: $m = \frac{{0 - (-10)}}{{0 - (-10)}} = \frac{{10}}{{10}} = 1$

So, the slope of the line is 1.

Would you like more details, or do you have any other questions? Here are some related questions:

1. How do you interpret a slope of 1 in a real-world context?
2. What happens to the slope when the line is steeper or flatter?
3. How do you find the slope if the graph is curved?
4. Can the slope of a line ever be negative, and what would that mean visually?
5. How does slope relate to the concept of velocity in physics?

Tip: When identifying the slope from a graph, choose points that align with the grid for more accuracy!