To find the slope of the line in the graph, we can use the formula for slope:

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

where $(x_1, y_1)$ and $(x_2, y_2)$ are two points on the line. Let's select two points from the graph:

• Point 1: $(-5, -5)$
• Point 2: $(5, 5)$

Now, applying these values to the slope formula:

$m = \frac{{5 - (-5)}}{{5 - (-5)}} = \frac{{5 + 5}}{{5 + 5}} = \frac{{10}}{{10}} = 1$

So, the slope of the line is 1.

Would you like further details or clarification on how this slope was calculated?

Here are 5 related questions to deepen understanding:

1. What does the slope of 1 tell you about the steepness of the line?
2. How would the graph change if the slope were -1 instead?
3. What would the slope be if the line were vertical?
4. How can you find the y-intercept from this graph?
5. How does the equation of this line look in slope-intercept form $y = mx + b$?

Tip: The slope represents the rate of change of $y$ with respect to $x$, so a slope of 1 means that for every unit increase in $x$, $y$ increases by the same amount.