The equation you've provided is a linear equation in the form \( y = mx + b \), where:

- \( m = 8 \) is the slope of the line.
- \( b = -7 \) is the y-intercept of the line.

### Key Features:
1. **Slope (m):** The slope of 8 indicates that for every unit increase in \( x \), \( y \) increases by 8 units.
2. **Y-Intercept (b):** The y-intercept of -7 means that when \( x = 0 \), \( y = -7 \). This is the point where the line crosses the y-axis.

### Example Points:
- When \( x = 0 \): \( y = 8(0) - 7 = -7 \). Point: \( (0, -7) \)
- When \( x = 1 \): \( y = 8(1) - 7 = 1 \). Point: \( (1, 1) \)
- When \( x = 2 \): \( y = 8(2) - 7 = 9 \). Point: \( (2, 9) \)

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

Here are five related questions you might consider:
1. What is the x-intercept of the line?
2. How would you graph the equation on the coordinate plane?
3. How does changing the slope affect the steepness of the line?
4. What happens to the graph if you change the y-intercept?
5. Can you write the equation of a line parallel to this one?

**Tip:** The slope-intercept form \( y = mx + b \) is one of the most useful forms for quickly graphing a line and understanding its behavior.

Explore the linear equation y = 8x - 7, including its slope, y-intercept, and example points. Learn how to graph this equation and understand its behavior on the coordinate plane. Suitable for students in Grades 7-9.

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