Find the slope and *y*-intercept (if possible) of the equation of the line. (If an answer is undefined, enter UNDEFINED. Enter NONE if there is no *y*-intercept.)

2*x* + 4*y* = 8

slope

*y*-intercept    (*x*, *y*) = (

,   )

Sketch the line.

Let's first solve the equation of the line for the slope and \( y \)-intercept:

### Given equation:
\[
2x + 4y = 8
\]

### Step 1: Rewrite the equation in slope-intercept form (\( y = mx + b \)).
To do this, solve for \( y \):

\[
4y = -2x + 8
\]

Now divide by 4:

\[
y = -\frac{2}{4}x + \frac{8}{4}
\]

Simplify:

\[
y = -\frac{1}{2}x + 2
\]

### Step 2: Identify the slope and \( y \)-intercept.
From the equation \( y = -\frac{1}{2}x + 2 \):

- The **slope** \( m = -\frac{1}{2} \).
- The **y-intercept** is \( (0, 2) \), meaning the line crosses the y-axis at \( y = 2 \).

### Step 3: Sketch the line.
To sketch the line:
- Start at the \( y \)-intercept \( (0, 2) \).
- Use the slope \( m = -\frac{1}{2} \) to find other points. This means for every 2 units you move to the right on the \( x \)-axis, move 1 unit down on the \( y \)-axis.
  
Would you like me to generate a visual sketch of the line?

### Summary:
- **Slope**: \( -\frac{1}{2} \)
- **y-intercept**: \( (0, 2) \)

Do you have any questions or want more details? 

### Related Questions:
1. What does the slope tell you about the direction of the line?
2. How would the graph look if the slope were positive?
3. Can you find the \( x \)-intercept of the line?
4. What is the equation of a line parallel to this one?
5. How do you convert from standard form to slope-intercept form for any line?

**Tip:** The slope \( m \) tells you how steep the line is and whether it rises or falls when moving from left to right.

Find the slope and y-intercept (if possible) of the equation of the line. (If an answer is undefined, enter UNDEFINED. Enter NONE if there is no y-intercept.) 2x + 4y = 8. Slope and y-intercept (x, y). Sketch the line.

Learn how to find the slope and y-intercept of the linear equation 2x + 4y = 8. This problem covers key algebraic concepts like slope-intercept form and step-by-step instructions for rewriting the equation and identifying the slope (-1/2) and y-intercept (0, 2). Suitable for students in Grades 8-10.

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