Question

determine a distância entre p(-1,4) e a reta r: -3y = -4x+1

Answer 1

Resposta:

$reta;\\4x-y-1=0\\a=4,b=-1,c=-3\\\\ponto;\\P(-1,4)\\\\Equacao;\\D=\frac{ax_{p}+by_{p}+c}{\sqrt{a^{2}+b^{2}}}\\\\D=\frac{4*(-1)+(-1)*(4)+(-1)}{\sqrt{4^{2}+(-1)^{2}}}\\\\D=\frac{-4-4-1}{\sqrt{16+1}}\\\\D=\frac{-9}{\sqrt{17}}\\\\-\frac{9}{\sqrt{17}}*(-\frac{\sqrt{17}}{\sqrt{17}})=\frac{9\sqrt{17}}{17}\\\\\boxed{Distancia=\frac{9\sqrt{17}}{17}}$

Explicação passo-a-passo: