To determine the slope of the line, 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 distinct points on the line.

Let's examine two points on the graph:

• One point appears to be $(0, 0)$, the origin.
• Another point seems to be $(3, 5)$, which is three units to the right and five units up.

Using the slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 0}{3 - 0} = \frac{5}{3}$

Therefore, the slope of the line is $\frac{5}{3}$, so the correct answer is the second option: $\frac{5}{3}$.

Would you like more details on how the slope formula works or on how to interpret slopes from graphs?

Here are five related questions:

1. How does the slope formula relate to rise over run in a graph?
2. What is the interpretation of a positive vs. negative slope?
3. How can you identify slope from a table of values instead of a graph?
4. What happens if the line is vertical or horizontal in terms of slope?
5. How would you calculate slope if given only the equation of a line?

Tip: When calculating slope, always pay attention to whether the line is increasing or decreasing to determine if the slope is positive or negative.