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To determine the slope of a line, we use the formula:

\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]

From the graph, two points on the line are given: \((0, 0)\) and \((4, 3)\).

Let's calculate the slope:

\[
m = \frac{3 - 0}{4 - 0} = \frac{3}{4}
\]

So, the slope of the line is:

\[
m = \frac{3}{4}
\]

Would you like any further details or have any questions?

Here are some related questions to consider:
1. What does the slope represent in real-world applications?
2. How do you interpret a slope of 0 or an undefined slope?
3. How would the line change if the slope were negative?
4. How can you find the slope if the points are not on a graph?
5. How does the slope relate to the equation of a line in slope-intercept form?

**Tip:** The slope of a line tells you how steep the line is and the direction in which it moves—upward for positive slopes, and downward for negative slopes.

What is the slope of this line given the points (0, 0) and (4, 3)?

Learn how to calculate the slope of a line passing through the points (0, 0) and (4, 3) using the slope formula. Suitable for students in Grades 7-9, this problem covers key concepts in coordinate geometry and linear equations.

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