To find the slope of the line shown in the graph, we can identify two points on the line and use the slope formula:

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

From the graph, two clear points on the line are:

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

Using these points:

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

Substitute these values into the formula:

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

So, the correct answer is: a. $\frac{4}{3}$

Would you like more details on the concept of slope, or do you have further questions?

Here are five related questions that might deepen your understanding:

1. How would the slope change if the line were descending instead of ascending?
2. What does a negative slope indicate in terms of the line's direction?
3. How is slope related to the angle a line makes with the x-axis?
4. How would you determine the slope if given only the equation of a line?
5. What is the meaning of an undefined slope, and how does it appear on a graph?

Tip: When determining the slope from a graph, always check for points where the line intersects grid lines clearly to make calculations easier.