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 when the imaginary part of \( \frac{2z+1}{iz+1} \) is equal to \(-2\).

### Step-by-Step Solution:

1. **Substitute \( z \) with \( x + iy \)**:
\[ z = x + iy \]
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