Question

Determine a distancia do sistema cartesiano do ponto P(-2,3)ate a reta de equação 3x-4y+1=0

Answer 1

Olá!!

Resolução!!

P ( - 2, 3 ) e r : 3x - 4y + 1 = 0

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D = |ax + by + c|/√a² + b²
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D = |3x - 4y + 1|/√3² + 4²
````````````````````````````````````````````_____
D = |3 • (-2) - 4 • 3 + 1|/√9 + 16

D = |- 6 - 12 + 1|/√25

D = |-17|/5

D = 17/5 u.

R = 17/5 u.

Espero ter ajudado!