For equations given below find the slope and the y- intercept.
` x + y + 4=0 `

Answer

To find the slope and the y-intercept of the equation \( x + y + 4 = 0 \), we will follow these steps:

### Step 1: Rewrite the equation in slope-intercept form
The slope-intercept form of a linear equation is given by:
\[ y = mx + c \]
where \( m \) is the slope and \( c \) is the y-intercept. We need to rearrange the given equation into this form.

Starting with the equation:
\[ x + y + 4 = 0 \]
we can isolate \( y \) by moving \( x \) and \( 4 \) to the other side:
\[ y = -x - 4 \]

### Step 2: Identify the slope and y-intercept
Now that we have the equation in the form \( y = mx + c \):
\[ y = -1x - 4 \]
we can identify the slope \( m \) and the y-intercept \( c \).

From the equation:
- The slope \( m = -1 \)
- The y-intercept \( c = -4 \)

### Final Answer
- **Slope**: \( -1 \)
- **Y-intercept**: \( -4 \)

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