Find the equation of a line which passes through the point (3,1) and bisects the portion of the line 3x+4y=12 intercepted between coordinate axes.

Explanation

To find the equation of a line that passes through the point (3, 1) and bisects the portion of the line \(3x + 4y = 12\) intercepted between the coordinate axes, we can follow these steps:

### Step 1: Find the intercepts of the line \(3x + 4y = 12\)

To find the x-intercept, set \(y = 0\):
\[ 3x + 4(0) = 12 \implies 3x = 12 \implies x = 4 \]
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