To find the slope of the line in the image, we can use the "rise over run" method. The slope $m$ of a line is calculated using the formula:

$m = \frac{{\Delta y}}{{\Delta x}}$

From the graph, we can identify two clear points that the line passes through:

1. $(-5, -5)$
2. $(5, 5)$

Using these two points, the change in $y$ (the "rise") and the change in $x$ (the "run") are:

$\Delta y = 5 - (-5) = 10$ $\Delta x = 5 - (-5) = 10$

So, the slope $m$ is:

$m = \frac{10}{10} = 1$

Thus, the slope of the line is 1.

Would you like further details or have any questions?

Related Questions:

1. What is the equation of the line given its slope and points?
2. How do you determine the y-intercept of this line?
3. Can you find the slope if the line was steeper or shallower?
4. How would the slope change if the line was inverted (flipped)?
5. What happens to the slope when a line is vertical or horizontal?

Tip:

When analyzing slopes, a positive slope means the line rises as it moves to the right, while a negative slope means the line falls as it moves to the right.