https://file.aiquickdraw.com/mathbot/file/1729597095198o2n8sx22.jpg

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.

Learn how to find the slope of a line from a graph using the formula m = (y2 - y1) / (x2 - x1). This problem involves identifying two points on the line and applying the slope formula. Suitable for students in Grades 8-10.

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