https://file.aiquickdraw.com/mathbot/file/17368765402287noc3uvm.jpg

Let's solve the equation step by step.

### The given equation:
\[
4x - 2y = 8
\]

#### Step 1: Find the **x-intercept**.
At the **x-intercept**, \(y = 0\). Substitute \(y = 0\) into the equation:
\[
4x - 2(0) = 8 \implies 4x = 8 \implies x = 2
\]
So, the x-intercept is:
\[
x = 2 \quad \text{or the point } (2, 0)
\]

#### Step 2: Find the **y-intercept**.
At the **y-intercept**, \(x = 0\). Substitute \(x = 0\) into the equation:
\[
4(0) - 2y = 8 \implies -2y = 8 \implies y = -4
\]
So, the y-intercept is:
\[
y = -4 \quad \text{or the point } (0, -4)
\]

#### Step 3: Plot the points and draw the line.
1. Plot the x-intercept at \((2, 0)\).
2. Plot the y-intercept at \((0, -4)\).
3. Connect these two points with a straight line.

---

### Final Results:
- **x-intercept**: \(x = 2\)
- **y-intercept**: \(y = -4\)

Would you like a graph or further explanation? Let me know!  
Here are some related questions to expand your understanding:

1. How do you find intercepts in a general linear equation?
2. Can we express \(4x - 2y = 8\) in slope-intercept form (\(y = mx + b\))?
3. What is the slope of this line?
4. What happens to the intercepts if the equation changes slightly, e.g., \(4x - 2y = 10\)?
5. How do parallel and perpendicular lines relate to this equation?

**Tip:** Always verify your intercepts by substituting back into the original equation!

Find the x-intercept and the y-intercept of the equation 4x - 2y = 8. Then use them to graph the line.

Step-by-step solution to find the x- and y-intercepts of the equation 4x - 2y = 8. Learn how to graph the line using these intercepts. Ideal for students in Grades 8-10.

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