The slope of a line can be calculated using the formula:

$\text{slope} = \frac{\text{rise}}{\text{run}}$

Steps:

1. Rise: The vertical change between two points on the line. It's the difference in the $y$-coordinates: $\Delta y = y_2 - y_1$.
2. Run: The horizontal change between two points on the line. It's the difference in the $x$-coordinates: $\Delta x = x_2 - x_1$.
3. Calculate the Slope: Divide the rise ($\Delta y$) by the run ($\Delta x$).

Example:

If two points on the line are $(2, 3)$ and $(5, 7)$:

• Rise: $y_2 - y_1 = 7 - 3 = 4$
• Run: $x_2 - x_1 = 5 - 2 = 3$
• Slope: $\frac{\text{rise}}{\text{run}} = \frac{4}{3}$

Thus, the slope is $\frac{4}{3}$.

Would you like further clarification or another example?

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Related Questions:

1. How do you interpret a negative slope in a real-world scenario?
2. What happens to the slope if the line is vertical?
3. Can slope be a decimal or fraction? How does it affect the line's steepness?
4. How does slope relate to the angle of a line?
5. What is the difference between positive, negative, zero, and undefined slopes?

Tip:

Always simplify the slope to its lowest terms to clearly express the rate of change.