Question

Determinar a distancia do ponto P(0,-2)à reta de esquaçao 8x+6y-7=0

Answer 1

Ponto
~~~~~
P ( 0 , - 2 )
P Xp,Yp

Reta de equacao
#############
r = 8x + 6y - 7 = 0
a = 8----b = 6-----c = -7

FORMULA DA DISTANCIA
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d = |aXp + bYp + c |
......_____________
.......\| (a^2 + b^2 )

d = 8(0) + 6(-2) - 7
.......___________
........\| (8^2 + 6^2)

d = 0 - 12 - 7
.......________
........\| 64 + 36

d = - 12 - 7
........_____
.........\| 100

d = -19
.......___
.........10