The equation you provided is \(-2x - 4y = 11\). Let's rearrange this into slope-intercept form \(y = mx + b\) to better understand the relationship between \(x\) and \(y\). 

### Step 1: Isolate \(y\)
We want to isolate \(y\) on one side of the equation. Begin by moving the term involving \(x\) to the other side.

\[
-4y = 2x + 11
\]

### Step 2: Solve for \(y\)
Now, divide the entire equation by \(-4\) to solve for \(y\).

\[
y = -\frac{1}{2}x - \frac{11}{4}
\]

This is the slope-intercept form, where the slope \(m = -\frac{1}{2}\) and the y-intercept is \(-\frac{11}{4}\).

Let me know if you'd like to explore further or clarify anything.

Here are 5 related questions for further practice:
1. How would you solve for \(x\) in the equation \(-2x - 4y = 11\)?
2. What is the slope of the line from the equation \(3x - 5y = 12\)?
3. What are the intercepts of the equation \(y = -\frac{1}{2}x - \frac{11}{4}\)?
4. How would you graph the equation \(-2x - 4y = 11\)?
5. Can you solve \(-2x - 4y = 11\) for \(x\)?

**Tip:** When converting to slope-intercept form, always aim to isolate \(y\) and simplify the slope to reveal the rate of change.

Discover how to solve the linear equation -2x - 4y = 11 by converting it to slope-intercept form. Learn key algebraic concepts like isolating variables, identifying the slope, and finding the y-intercept. Ideal for students in Grades 8-10.

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