The function you've provided is \( g(x) = 3x - 4 \). This is a linear function, meaning it represents a straight line when graphed on a coordinate plane.

Key features of this function:
- **Slope (m)**: The coefficient of \( x \) is 3, so the slope of the line is 3. This means that for every 1 unit increase in \( x \), the value of \( g(x) \) increases by 3.
- **Y-intercept (b)**: The constant term is -4, which means the line crosses the y-axis at \( (0, -4) \).

Would you like to go deeper into details about graphing this function or its applications?

Here are 5 questions that expand on this concept:
1. How would you find the x-intercept of \( g(x) = 3x - 4 \)?
2. What is the derivative of \( g(x) = 3x - 4 \), and what does it represent?
3. How would the graph of \( g(x) = 3x - 4 \) change if the slope were negative?
4. How can you find the inverse of the function \( g(x) = 3x - 4 \)?
5. How would you solve \( g(x) = 0 \)?

**Tip:** When analyzing linear functions, always remember the slope tells you how steep the line is, and the y-intercept tells you where it crosses the y-axis.

Explore the linear function g(x) = 3x - 4, learn about the slope and y-intercept, and understand how to graph the function. This guide is perfect for students in Grades 6-8, covering key algebraic concepts like the slope-intercept form.

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