Graph the line containing the point $$ P $$ and having slope $$ m $$. $$ P=(-7,3) \text {; slope undefined } $$

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When a line has an **undefined slope**, it is a **vertical line**. Vertical lines have the equation:

$$
x = a
$$

where $$ a $$ is the x-coordinate of every point on the line.

### Given:
- **Point $$ P $$**: $$(-7, 3)$$
- **Slope $$ m $$**: Undefined

### Equation of the Line:
Since the slope is undefined, the line is vertical and passes through the x-coordinate of point $$ P $$.

$$
x = -7
$$

### Graphical Representation:

Below is a simple representation of the vertical line $$ x = -7 $$ passing through the point $$ P(-7, 3) $$.

```
y
|
|
|          *
|          |
|          |
|----------|---------- x
|          |
|
|
```

- The asterisk (*) represents the point $$ P(-7, 3) $$.
- The vertical line through $$ x = -7 $$ extends infinitely in both upward and downward directions.

### Key Points:
- **Vertical Line**: All points on the line have the same x-coordinate ($$ x = -7 $$ in this case).
- **Slope**: Undefined because the line does not run left or right but straight up and down.

### Summary:
The line passing through $$ P(-7, 3) $$ with an undefined slope is the vertical line defined by the equation:

$$
x = -7
$$
The line is a vertical line at $$ x = -7 $$.

Graph the line containing the point \( P \) and having slope \( m \). \[ P=(-7,3) \text {; slope undefined } \]

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