Draw the graph of y = x - 2 for the values of x from -3 to 3

Here's the graph of \( y = x - 2 \) for \( x \) values from -3 to 3. The line shows a linear relationship with a slope of 1 and a y-intercept at -2.

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Here are five related questions to expand your understanding:
1. How does changing the slope affect the graph of a linear equation?
2. What happens to the graph if we change the equation to \( y = x + 2 \)?
3. Can you find the equation of a line parallel to \( y = x - 2 \)?
4. How would you graph the line \( y = -x - 2 \)?
5. What does the y-intercept tell you about a linear equation?

**Tip:** In a linear equation of the form \( y = mx + b \), \( m \) represents the slope (rate of change), and \( b \) represents the y-intercept (where the line crosses the y-axis).

Explore how to graph the linear equation y = x - 2 for x values ranging from -3 to 3. Understand key algebraic concepts such as slope, y-intercept, and how these affect the graph's shape. Suitable for students in Grades 6-8.

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