To calculate the slope of the line in the image, we use the slope formula:

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

From the points given:

• Point 1: $(0, 0)$ (origin)
• Point 2: $(4, 3)$

Substituting these values into the formula:

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

The slope of the line is $\frac{3}{4}$.

Would you like further explanation or have any related questions?

Here are 5 related questions to explore:

1. What does the slope of a line represent in a graph?
2. How can you find the slope if only the graph (no points) is given?
3. What happens to the slope if the line is vertical or horizontal?
4. How would you write the equation of this line in slope-intercept form?
5. How does changing the slope affect the steepness of the line?

Tip: A positive slope means the line rises as it moves from left to right.