What is the length of the perpendicular drawn from the point (4,5) upon straight line $3x+4y=10?$
Solution
The point is (4, 5) and line is $3x + 4y = 10$
Hence the length of perpendicular $= \dfrac {3.4 + 4.5 – 10}{\sqrt{(3^2 + 4^2)}}$
$ = \frac {22}{5} = 4 \dfrac {2}{5}$ units.