This graph represents 
.

the graph of 2x+y=-4

The equation given is:

\[
2x + y = -4
\]

We want to express this equation in slope-intercept form (\(y = mx + b\)), where \(m\) is the slope and \(b\) is the y-intercept.

### Step 1: Convert to slope-intercept form
Starting with:
\[
2x + y = -4
\]
Subtract \(2x\) from both sides:
\[
y = -2x - 4
\]

### Step 2: Identify slope and intercept
- The slope \(m\) is \(-2\).
- The y-intercept \(b\) is \(-4\), meaning the line crosses the y-axis at \((0, -4)\).

### Step 3: Drawing the graph
1. Start at the y-intercept \((0, -4)\).
2. Use the slope \(m = -2\), which means for every 1 unit you move to the right (positive direction on the x-axis), you move 2 units down (negative direction on the y-axis).

Two points on the line are:
- \((0, -4)\) from the y-intercept.
- Moving right 1 unit: \((1, -6)\).

Plot these points and draw a straight line through them.

Would you like more details on how to graph it?

### 5 Related Questions:
1. How do you find the x-intercept of this line?
2. What changes if the slope is positive instead of negative?
3. How do you graph a line given two points?
4. How do you determine if two lines are parallel?
5. How do you find the slope between two points?

### Tip
When converting to slope-intercept form, always isolate \(y\) for easier graphing!

This graph represents the graph of 2x + y = -4.

Learn how to convert the linear equation 2x + y = -4 into slope-intercept form (y = mx + b) and graph it. This problem demonstrates how to find the slope and y-intercept, and graph key points. Suitable for students in Grades 8-10.

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