The equation $y = x - 7$ is a linear equation. To graph this, let's break it down:

1. Slope: The coefficient of $x$ is 1, so the slope of the line is 1. This means that for every unit increase in $x$, $y$ increases by 1.
2. Y-intercept: The constant term is -7, meaning the line crosses the y-axis at $y = -7$.

Steps to plot the line:

1. Plot the y-intercept: Start by marking the point (0, -7) on the graph.
2. Use the slope: From (0, -7), move up 1 unit and to the right 1 unit to get another point on the line, which will be (1, -6).
3. Draw the line: Connect the points with a straight line that extends in both directions.

The graph will be a straight line that passes through points like:

• $(0, -7)$
• $(1, -6)$
• $(2, -5)$, and so on.

Would you like me to generate the graph for you or need further details on how to plot it?

5 Related Questions:

1. What is the slope of a line and how do you interpret it?
2. How do you find the y-intercept of a line from its equation?
3. How do changes in the slope affect the steepness of the line?
4. How would the graph change if the equation was $y = x + 7$?
5. How do you find the equation of a line if given two points on the line?

Tip:

For linear equations, the slope can tell you how steep the line is, and the y-intercept tells you where it crosses the y-axis!