Graph the line with the equation y= -x−4.

To graph the line given by the equation \( y = -x - 4 \), follow these steps:

### Step 1: Identify the slope and y-intercept
The equation is in slope-intercept form \( y = mx + b \), where:
- \( m \) is the slope.
- \( b \) is the y-intercept.

For the equation \( y = -x - 4 \):
- Slope \( m = -1 \).
- Y-intercept \( b = -4 \).

### Step 2: Plot the y-intercept
Start by plotting the y-intercept \((0, -4)\) on the graph. This is where the line crosses the y-axis.

### Step 3: Use the slope to find another point
The slope \( m = -1 \) means that for every 1 unit you move to the right (in the positive x-direction), you move 1 unit down (in the negative y-direction). Starting from \((0, -4)\), move 1 unit right and 1 unit down to get the point \((1, -5)\).

### Step 4: Draw the line
Draw a straight line through the points \((0, -4)\) and \((1, -5)\). Extend the line in both directions.

### Step 5: Label the graph
Label the line with its equation \( y = -x - 4 \).

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Learn how to graph the line y = -x - 4 with this detailed step-by-step guide. Understand the slope-intercept form of linear equations and plot key points on the graph. Suitable for Grades 7-9 students studying linear equations and graphing.

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