To find the slope $m$ of the line shown in the graph, we can use the formula:

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

Where:

• $(x_1, y_1)$ and $(x_2, y_2)$ are two points on the line.

Let's identify two points on the line from the graph:

1. Point 1: $(-4, 0)$
2. Point 2: $(0, 2)$

Using these points:

$m = \frac{2 - 0}{0 - (-4)} = \frac{2}{4} = \frac{1}{2}$

So, the slope $m$ of the line is $\frac{1}{2}$.

Would you like more details or have any questions?

Here are 5 related questions:

1. How do you calculate the slope of a vertical line?
2. What is the slope of a horizontal line?
3. Can the slope of a line be negative, and what does that signify?
4. How do you determine the equation of a line if you know the slope and a point on the line?
5. How does the slope affect the steepness of a line?

Tip: When working with slopes, remember that a positive slope means the line rises as it moves from left to right, while a negative slope means the line falls.