To calculate the slope of a line, use the formula:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

• $m$ is the slope.
• $(x_1, y_1)$ and $(x_2, y_2)$ are two points on the line.

Steps to find the slope:

1. Identify two points on the line (e.g., $(x_1, y_1)$ and $(x_2, y_2)$).
2. Subtract the $y$-coordinates: $y_2 - y_1$.
3. Subtract the $x$-coordinates: $x_2 - x_1$.
4. Divide the result of Step 2 by the result of Step 3 to get the slope.

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Example:

Find the slope of the line passing through points $(3, 4)$ and $(7, 10)$.

1. Subtract $y$-coordinates: $10 - 4 = 6$.
2. Subtract $x$-coordinates: $7 - 3 = 4$.
3. Calculate slope:
   $m = \frac{6}{4} = \frac{3}{2}$

The slope is $\frac{3}{2}$.

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Would you like additional examples or practice problems?

Related Questions:

1. What does a slope of zero mean for a line?
2. How do you calculate the slope from a graph?
3. Can the slope be negative? How would it look?
4. What is the relationship between slope and rate of change?
5. How do you write the equation of a line using a slope and a point?

Tip: Always ensure $x_2 \neq x_1$ when using the slope formula to avoid division by zero.