To find the slope of the line, we use the formula:

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

From the graph in the first image, we can see that the line passes through two key points:

1. $(-4, 0)$
2. $(2, 3)$

Using these points:

• $x_1 = -4$, $y_1 = 0$
• $x_2 = 2$, $y_2 = 3$

Now, substituting into the slope formula:

$\text{slope} = \frac{{3 - 0}}{{2 - (-4)}} = \frac{3}{6} = \frac{1}{2}$

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

For the question in the second image, the correct answer is:

• A: The slope is $\frac{1}{2}$.

Would you like a more detailed explanation or have any other questions?

Here are 5 related questions you might find useful:

1. How do you determine if a slope is positive or negative from a graph?
2. What is the slope of a horizontal line?
3. How would the slope change if the points were vertically aligned?
4. Can you calculate the slope if only one point is provided?
5. How does the slope relate to the steepness of a line?

Tip: The greater the absolute value of the slope, the steeper the line.