To graph the equation $x - y = -1$, let's rewrite the equation in a more familiar form for graphing, the slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Starting with the original equation: $x - y = -1$

Solve for $y$: $y = x + 1$

Now, this equation is in the slope-intercept form: $y = x + 1$ Here, the slope $m = 1$ and the y-intercept $b = 1$.

Steps to Graph:

1. Plot the y-intercept: The y-intercept is 1, so plot the point $(0, 1)$ on the graph.
2. Use the slope to find another point: The slope is 1, which means that for every 1 unit increase in $x$, $y$ also increases by 1. From $(0, 1)$, move 1 unit to the right (increase $x$ by 1) and 1 unit up (increase $y$ by 1), giving the point $(1, 2)$.
3. Draw the line: Connect the points $(0, 1)$ and $(1, 2)$ with a straight line. Extend the line in both directions.

Would you like further clarification or the graph plotted? Let me know!

Here are 5 related questions:

1. How do you find the slope from a given equation?
2. What does the slope tell you about the direction of a line?
3. How do you convert any linear equation to slope-intercept form?
4. What happens to the graph if the slope is negative?
5. How do you determine if two lines are parallel or perpendicular?

Tip: Always plot at least two points when graphing a line for accuracy!