The equation you provided, $y = 3x + 6$, represents a linear equation in slope-intercept form, which is $y = mx + b$, where:

• $m$ is the slope of the line (in this case, 3).
• $b$ is the y-intercept, or the point where the line crosses the y-axis (in this case, 6).

Key details:

• The slope of 3 indicates that for every 1 unit increase in $x$, $y$ increases by 3 units.
• The y-intercept at $(0, 6)$ shows that when $x = 0$, $y = 6$.

This equation describes a straight line with an upward slope.

Would you like more details or have any questions?

Here are 5 related questions:

1. What is the graph of the equation $y = 3x + 6$?
2. How do we find the x-intercept of the equation?
3. How does changing the slope affect the line?
4. Can we find the equation of a line parallel to this one?
5. What happens if we set $y = 0$? What is $x$?

Tip: The slope of a line represents how steep the line is, and a larger slope means the line rises or falls more quickly.