To graph the linear equation $x - y = -2$ by finding and plotting its intercepts, we need to follow these steps:

1. Find the x-intercept:

The x-intercept occurs when $y = 0$.

• Substitute $y = 0$ into the equation $x - y = -2$: $x - 0 = -2$ $x = -2$ Thus, the x-intercept is $(-2, 0)$.

2. Find the y-intercept:

The y-intercept occurs when $x = 0$.

• Substitute $x = 0$ into the equation $x - y = -2$: $0 - y = -2$ $y = 2$ Thus, the y-intercept is $(0, 2)$.

3. Plot the intercepts and draw the line:

• Plot the points $(-2, 0)$ and $(0, 2)$ on the graph.
• Draw a straight line through these two points. This line represents the equation $x - y = -2$.

Summary:

• x-intercept: $(-2, 0)$
• y-intercept: $(0, 2)$

If you'd like, I can provide a visual graph as well. Would you like me to generate the graph for you?

Relative questions:

1. How do you find the slope from an equation in standard form?
2. What is the general form of a linear equation?
3. How can we determine if two lines are parallel?
4. What is the slope-intercept form of a line?
5. How do you find the equation of a line given two points?

Tip: The x-intercept occurs when $y = 0$, and the y-intercept occurs when $x = 0$.