Find distance of 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 \( A(-4, 3) \).
- The origin is \( O(0, 0) \).

2. **Assign Coordinates**:
- Let \( (x_1, y_1) = (0, 0) \) (the origin).
- Let \( (x_2, y_2) = (-4, 3) \) (the given point).

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

4. **Calculate the Differences**:
- \( x_2 - x_1 = -4 - 0 = -4 \)
- \( y_2 - y_1 = 3 - 0 = 3 \)

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

6. **Add the Squares**:
\[ d = \sqrt{25} \]

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

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