Question

Calcular a distância entre a reta e: 2x-3y-1=0 e o ponto P(0,1).

Answer 1

reta : 2x - 3y - 1

a = 2, b = -3 e c = -1

ponto : P(0,1)

x = 0 e y = 1

D = ( ax + by + c ) / √ a² + b²

D = ( 2.0 + (-3) . 1 - 1 ) / ( √ 2² + (-3) ²

D = ( -3 - 1 ) / ( √ 4 + 9

D = -4 / √13

D = -4/√13 . √13/√13

D = ( -4√13 ) / 13