What is the slope of the line y = 3x - 12?

The slope of the line \( y = 3x - 12 \) is found directly from the equation.

The equation is in the slope-intercept form, which is:

\[
y = mx + b
\]

Here:
- \( m \) is the slope of the line.
- \( b \) is the y-intercept.

In your equation \( y = 3x - 12 \), the coefficient of \( x \) is 3. Therefore, the slope \( m \) is:

\[
\text{slope} = 3
\]

Would you like more details or have any questions about this? 

Here are five related questions:
1. What is the y-intercept of the line \( y = 3x - 12 \)?
2. How do you find the slope of a line given two points?
3. What does the slope of a line represent in real-world scenarios?
4. How would the graph of the line \( y = 3x - 12 \) look like?
5. How does changing the slope affect the steepness of a line?

**Tip:** The slope of a line indicates its steepness and direction. A positive slope means the line rises as it moves from left to right.

Discover how to find the slope of the line y = 3x - 12 with a clear explanation. This problem involves linear equations and the slope-intercept form. Suitable for students in Grades 7-9.

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