Find the length of the perpendicular drawn from the origin upon the straight line $\frac{x}{3} - \frac{y}{4} = 1$

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Solution

$\frac{x}{3} - \frac{y}{4} = 1$
$4 x - 3 y = 12$
Perpendicular distance = $∣ ∣ ∣ ∣ \frac{4 \times 0 - 3 \times 0 - 12}{\sqrt{4^{2} + 3^{2}}} ∣ ∣ ∣ ∣$
$= \frac{12}{5} = 2 \frac{2}{5}$

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