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

Let us the slope of the line passing through the point `P(1,4)` be `m`.

We know that equation of a straight line passing through the point `(x_{1}, y_{1})` and having slope `m` is given by:


`Rightarrow y-y_{1}=m(x-x_{1})`


The equation of the straight line is:


`Rightarrow y-4=m(x-1) `

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