y= x-4 use the intercepts to graph the equation 

To graph the equation \( y = x - 4 \) using intercepts, we will find both the **x-intercept** and the **y-intercept**.

### Step 1: Find the y-intercept
The y-intercept occurs when \( x = 0 \). Substitute \( x = 0 \) into the equation:

\[
y = 0 - 4 = -4
\]

So, the **y-intercept** is \( (0, -4) \).

### Step 2: Find the x-intercept
The x-intercept occurs when \( y = 0 \). Set \( y = 0 \) in the equation and solve for \( x \):

\[
0 = x - 4
\]

Solving for \( x \):

\[
x = 4
\]

So, the **x-intercept** is \( (4, 0) \).

### Step 3: Plot the intercepts
Now you have two points:
- \( (0, -4) \) (the y-intercept)
- \( (4, 0) \) (the x-intercept)

### Step 4: Draw the line
Plot these two points on the graph and draw a straight line through them. This line represents the equation \( y = x - 4 \).

Would you like a graph of this? Do you have any questions or need more details?

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Here are 5 related questions to expand on this:
1. How do we find the slope of the line from this equation?
2. What does the slope represent in the context of this graph?
3. How can you check if a point is on the line?
4. How does changing the equation to \( y = x - 3 \) affect the intercepts?
5. What are other methods to graph a linear equation?

**Tip:** For a linear equation in the form \( y = mx + b \), \( b \) represents the y-intercept.

y = x - 4 use the intercepts to graph the equation

Learn how to graph the linear equation y = x - 4 by finding the x- and y-intercepts. This step-by-step guide covers the fundamentals of linear equations, graphing, and interpreting intercepts. Ideal for students in Grades 6-8.

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