Graph this line using the slope and $$ y $$-intercept: $$ y=2 x+4 $$

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To graph the line $$ y = 2x + 4 $$ using the slope and $$ y $$-intercept, follow these steps:

### 1. Identify the $$ y $$-Intercept
The equation $$ y = 2x + 4 $$ is in the slope-intercept form $$ y = mx + b $$, where:
- $$ m $$ is the **slope**.
- $$ b $$ is the **$$ y $$-intercept**.

Here, the $$ y $$-intercept $$ b = 4 $$. This means the line crosses the $$ y $$-axis at the point **(0, 4)**.

### 2. Determine the Slope
The slope $$ m = 2 $$ indicates the steepness and direction of the line. A slope of 2 means that for every **1 unit** you move **horizontally** (to the right), you move **2 units** **vertically** (upward).

### 3. Plot the $$ y $$-Intercept
Start by plotting the point **(0, 4)** on the coordinate plane.

### 4. Use the Slope to Find Another Point
From the $$ y $$-intercept:
- Move **1 unit to the right** (increase $$ x $$ by 1).
- Move **2 units up** (increase $$ y $$ by 2).

This takes you to the point **(1, 6)**.

### 5. Draw the Line
Use a ruler to draw a straight line passing through the points **(0, 4)** and **(1, 6)**. Extend the line in both directions and add arrowheads to indicate that it continues indefinitely.

### 6. (Optional) Add Another Point for Accuracy
To ensure accuracy, you can plot a third point using the slope:
- From **(1, 6)**, move **1 unit to the right** to $$ x = 2 $$.
- Move **2 units up** to $$ y = 8 $$, giving the point **(2, 8)**.

### Visual Representation

Here's a simple ASCII representation of the graph:

```
y
|
10 |                    
 9 |                    
 8 |          * (2,8)
 7 |                    
 6 |       * (1,6)
 5 |                    
 4 |    * (0,4)
 3 |                    
 2 |                    
 1 |                    
 0 |--------------------------
    0   1   2   3   4   x
```

- The asterisks (*) represent the points plotted.
- Draw a straight line through these points to represent $$ y = 2x + 4 $$.

### Summary

- **$$ y $$-Intercept**: (0, 4)
- **Slope**: 2 (rise over run: up 2, right 1)
- **Additional Points**: (1, 6), (2, 8), etc.
- **Graph**: A straight line passing through these points, rising upward as $$ x $$ increases.

By following these steps, you can accurately graph the line $$ y = 2x + 4 $$ on a coordinate plane.
To graph the line $$ y = 2x + 4 $$: 1. Plot the $$ y $$-intercept at (0, 4). 2. Use the slope of 2 to find another point, such as (1, 6). 3. Draw a straight line through these points. This line will rise upward as $$ x $$ increases.

Graph this line using the slope and -intercept:

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