Find the equations of the line passing through the point (-1, 2,1 ) and parallel to the line `(2x-1)/4=(3y+5)/2=(2-z)/3dot`

Explanation

To find the equation of the line passing through the point \((-1, 2, 1)\) and parallel to the given line \(\frac{2x-1}{4} = \frac{3y+5}{2} = \frac{2-z}{3}\), we can follow these steps:

### Step 1: Identify the direction ratios of the given line
The given line is in symmetric form. We can rewrite it as:
\[ \frac{2x - 1}{4} = \frac{3y + 5}{2} = \frac{2 - z}{3} \]
From this, we can identify the direction ratios of the line. The direction ratios can be taken from the denominators:
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