Question

Find the distance of the point $(3,4)$ from the line $6x+8y=5$.

Answer 1

Now the distance of the point $(3,4)$ from the line $6x+8y=5$ is

$=\left|\frac{6.3+4.8-5}{\sqrt{6^2+8^2}}\right|$

$=\left|\frac{45}{\sqrt{100}}\right|$

$=\frac{45}{10}$

$=\frac{9}{2}$.