The equation \( y = -6x - 1 \) represents a straight line in slope-intercept form, where:

- The slope (m) is \(-6\), which indicates that for every 1 unit increase in \(x\), the value of \(y\) decreases by 6 units.
- The y-intercept (b) is \(-1\), meaning the line crosses the y-axis at \((0, -1)\).

### Key properties:
1. **Slope**: \(-6\)
2. **Y-intercept**: \(-1\)
3. **Equation type**: Linear

If you graph this equation, the line will be steeply sloping downward from left to right.

Would you like more details on how to graph this, or perhaps on solving related problems?

Here are five related questions:
1. How do you find the x-intercept of this line?
2. What happens to the line if you change the slope to a positive number?
3. Can you convert this equation to standard form?
4. How would the graph change if the y-intercept were positive?
5. How do you calculate the slope between two points on this line?

**Tip:** The slope indicates how steep a line is; a larger magnitude results in a steeper line.

Understand the key concepts of solving and graphing the linear equation y = -6x - 1. Learn about the slope-intercept form, identify the slope and y-intercept, and see how to represent this equation graphically. Ideal for students in Grades 8-10.

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