Find the inclination of the line whose slope is:
`1`

Answer

To find the inclination of the line whose slope is 1, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Relationship Between Slope and Inclination**:
The slope (m) of a line is related to its inclination (θ) by the formula:
\[ m = \tan(\theta) \]

2. **Substitute the Given Slope**:
In this case, the slope (m) is given as 1. Therefore, we can write:
\[ 1 = \tan(\theta) \]

3. **Find the Angle θ**:
To find θ, we need to determine the angle whose tangent is 1. From trigonometric values, we know:
\[ \tan(45^\circ) = 1 \]
Thus, we can equate:
\[ \tan(\theta) = \tan(45^\circ) \]

4. **Conclude the Value of θ**:
Since the tangents are equal, we can conclude:
\[ \theta = 45^\circ \]

### Final Answer:
The inclination of the line whose slope is 1 is \( 45^\circ \).

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