Find the distance of the point `(4, -3)` from the origin .

Answer

To find the distance of the point (4, -3) from the origin (0, 0), we can use the distance formula. The distance \( d \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

### Step-by-step Solution:

1. **Identify the Points**:
- The point given is \( (4, -3) \) which we can denote as \( (x_1, y_1) \).
- The origin is \( (0, 0) \) which we can denote as \( (x_2, y_2) \).

Here, \( x_1 = 4 \), \( y_1 = -3 \), \( x_2 = 0 \), and \( y_2 = 0 \).

2. **Substitute the Coordinates into the Distance Formula**:
\[ d = \sqrt{(0 - 4)^2 + (0 - (-3))^2} \]

3. **Calculate the Differences**:
- Calculate \( 0 - 4 = -4 \)
- Calculate \( 0 - (-3) = 0 + 3 = 3 \)

4. **Square the Differences**:
\[ d = \sqrt{(-4)^2 + (3)^2} \]
- \( (-4)^2 = 16 \)
- \( (3)^2 = 9 \)

5. **Add the Squares**:
\[ d = \sqrt{16 + 9} = \sqrt{25} \]

6. **Take the Square Root**:
\[ d = 5 \]

### Final Answer:
The distance of the point (4, -3) from the origin is **5 units**.