The problem asks to identify the slope of the function represented by the graph.

To find the slope $m$ of a line, we can use the formula:

$m = \frac{{\text{{change in }} y}}{{\text{{change in }} x}} = \frac{{y_2 - y_1}}{{x_2 - x_1}}$

We need to find two points on the line. Based on the graph:

• One point is $(-6, -4)$ (from the grid intersections)
• Another point is $(3, 5)$

Now, applying the slope formula:

$m = \frac{{5 - (-4)}}{{3 - (-6)}} = \frac{{5 + 4}}{{3 + 6}} = \frac{9}{9} = 1$

Thus, the slope of the function is $1$.

Would you like more details or have any questions about this?

Here are 5 related questions for practice:

1. How does the slope change if the line tilts downward instead of upward?
2. What is the slope of a horizontal line?
3. How can we find the equation of a line using the slope and a point?
4. How do you interpret a slope of zero?
5. How does the slope of a line affect its steepness?

Tip: For a vertical line, the slope is undefined because the change in $x$ is zero, leading to division by zero.