The function you've provided is \( g(x) = -4 + 7x \).

This is a linear function, where:
- The slope (or rate of change) is \( 7 \),
- The y-intercept (the value of \( g(x) \) when \( x = 0 \)) is \( -4 \).

### Key Points:
- **Slope**: \( 7 \) means for every increase of 1 unit in \( x \), \( g(x) \) increases by 7.
- **Y-intercept**: The point where the function crosses the y-axis is at \( (0, -4) \).
  
Would you like me to graph this function or dive into more details about interpreting or transforming this function?

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Here are 5 related questions:
1. How do you find the slope of a linear function?
2. What does the y-intercept represent in a graph?
3. How do you determine if a function is increasing or decreasing?
4. How do you solve for \( x \) when \( g(x) = 0 \)?
5. How can you shift or transform a linear function?

**Tip**: To solve for \( x \) in any equation, set the function equal to a value (like zero) and solve for \( x \).

Learn how to analyze the linear function g(x) = -4 + 7x. This problem covers key concepts such as slope and y-intercept. Understand how to find the slope, interpret the graph, and solve for x. Suitable for students in Grades 8-10.

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