The equation $y = x - 2$ represents a linear function. Let’s break down its characteristics:

1. Slope: The slope (m) is the coefficient of $x$, which is $1$. This means that for every 1 unit increase in $x$, $y$ increases by 1 unit.

2. Y-intercept: The y-intercept is $-2$, which is the constant term. This tells us that when $x = 0$, $y = -2$.

3. Graph: This equation describes a line that slopes upwards with a 45° angle (since the slope is $1$) and crosses the y-axis at $(0, -2)$.

Would you like a graph of this line or further explanation on any aspect of linear functions?

Here are 5 questions to consider:

1. How would the line change if the slope were increased or decreased?
2. What would happen to the line if we added a constant to the equation?
3. How can we find the x-intercept of this line?
4. How would we interpret the slope in a real-world context?
5. What does it mean if two lines have the same slope but different y-intercepts?

Tip: To find the x-intercept of a linear equation, set $y = 0$ and solve for $x$.