If the lines `y" "=" "3x" "+" "1` and `2y" "=" "x" "+" "3` are equally inclined to the line`y" "=" "m x" "+" "4` , find the value of m.

Explanation

To find the value of \( m \) such that the lines \( y = 3x + 1 \) and \( 2y = x + 3 \) are equally inclined to the line \( y = mx + 4 \), we can follow these steps:

### Step 1: Identify the slopes of the given lines
The slope of the first line \( y = 3x + 1 \) is:
\[ m_1 = 3 \]

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