A straight line is drawn through a given point `P(1,4)dot` Determine the least value of the sum of the intercepts on the coordinate axes.

Explanation

To find the least value of the sum of the intercepts on the coordinate axes for a straight line passing through the point \( P(1, 4) \), we can follow these steps:

### Step 1: Equation of the Line
Assume the slope of the line is \( m \). The equation of the line passing through the point \( P(1, 4) \) can be written using the point-slope form:
\[ y - 4 = m(x - 1) \]
Rearranging gives:
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