Graph the equation using the​ x- and​ y-intercepts.
8xminus4yequalsnegative 32
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Part 1
Use the graphing tool to graph the equation. Use the intercepts when drawing the line. If only one intercept​ exists, use it and another point to draw the line.



To graph the equation \( 8x - 4y = -32 \) using the x- and y-intercepts, follow these steps:

1. **Find the x-intercept:**
   - Set \( y = 0 \) in the equation and solve for \( x \).
   \[
   8x - 4(0) = -32 \implies 8x = -32 \implies x = -4
   \]
   So, the x-intercept is \((-4, 0)\).

2. **Find the y-intercept:**
   - Set \( x = 0 \) in the equation and solve for \( y \).
   \[
   8(0) - 4y = -32 \implies -4y = -32 \implies y = 8
   \]
   So, the y-intercept is \((0, 8)\).

3. **Plot the intercepts:**
   - Mark the points \((-4, 0)\) and \((0, 8)\) on the graph.

4. **Draw the line:**
   - Connect the two intercepts with a straight line to graph the equation.

Here’s a step-by-step breakdown of the graph:

- **X-intercept:** \((-4, 0)\)
- **Y-intercept:** \((0, 8)\)
- **Equation in slope-intercept form:** \( y = 2x + 8 \)

Would you like a visual graph of this equation? Feel free to ask any additional questions!

### Relative Questions:
1. How do you determine the slope of a line using two points?
2. What happens if the line does not intersect the x-axis or y-axis?
3. How do you convert the given equation to slope-intercept form?
4. Can you explain how to find the intercepts for more complex equations?
5. How would you graph an equation if both intercepts are zero?

**Tip:** Always check if your line passes through the intercepts after drawing to ensure accuracy.

Graph the equation using the​ x- and​ y-intercepts. 8x - 4y = -32. Use the graphing tool to graph the equation. Use the intercepts when drawing the line. If only one intercept​ exists, use it and another point to draw the line.

Learn how to graph the linear equation 8x - 4y = -32 by finding the x- and y-intercepts. This step-by-step guide demonstrates how to solve for intercepts and graph the line, covering key algebraic concepts for students in Grades 8-10.

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