Shortest distance from point 43 to the line 2x 3y 25 0Sol

Shortest distance from point 4,-3 to the line 2x + 3y - 25 = 0

Solution

Shortest distance between a line Ax + By + C and a point

(Xo, Yo) is given by | (A.Xo + BYo +C) | /(A² + B² )

Therefore for the given line and point shortest distance is given by. ==> | (2*4 +3*-3 -25) | / (2² + 3²)

==> |(8-9-25)|/13

==>. 26/13

==>. 2*13. Or. 52