Prove that the locus of a moving point, which is equidistant from the lines `3x-2y=5` and `3x+2y=5`, is a straight line.

Explanation

To prove that the locus of a moving point which is equidistant from the lines \(3x - 2y = 5\) and \(3x + 2y = 5\) is a straight line, we can follow these steps:

### Step 1: Identify the equations of the lines
The given lines are:
1. \(3x - 2y = 5\) (let's call this Line 1)
2. \(3x + 2y = 5\) (let's call this Line 2)

### Step 2: Write the distance formula from a point to a line
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