If the imaginary part of `(2z+1)/(i z+1)` is `-2` , then show that the locus of the point respresenting `z` in the argand plane is a straight line.

Explanation

To solve the problem, we need to show that the locus of the point representing \( z \) in the Argand plane is a straight line given that the imaginary part of \( \frac{2z + 1}{iz + 1} \) is \(-2\).

### Step-by-Step Solution:

1. **Express \( z \) in terms of \( x \) and \( y \)**:
Let \( z = x + iy \), where \( x \) and \( y \) are real numbers.

2. **Substitute \( z \) into the expression**:
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