Write the order pair `(2,-3)` in the form of `(a+ib)`.

Explanation

To express the ordered pair (2, -3) in the form of \( a + ib \), we follow these steps:

1. **Identify the components of the ordered pair**: The ordered pair (2, -3) consists of two elements: the first element is 2 and the second element is -3. We can denote these elements as \( x \) and \( y \), where \( x = 2 \) and \( y = -3 \).

2. **Relate the components to the complex number format**: In the context of complex numbers, we can express a complex number \( z \) in the form \( z = x + iy \). Here, \( x \) represents the real part (denoted as \( a \)), and \( y \) represents the imaginary part (denoted as \( b \)).

3. **Assign values to \( a \) and \( b \)**: From our ordered pair, we have:
- \( a = x = 2 \)
- \( b = y = -3 \)

4. **Write the complex number**: Now we can substitute the values of \( a \) and \( b \) into the complex number format:
\[ z = a + ib = 2 + (-3)i \]
This simplifies to:
\[ z = 2 - 3i \]

5. **Final answer**: Therefore, the ordered pair (2, -3) can be expressed in the form \( a + ib \) as:
\[ z = 2 - 3i \]