Question

calcule a distância entre o ponto P(1,5) e a reta r: 3x-4y+2=0. *

a)-3
b)3
c)-5
d)5

Answer 1

3x-4y+2=0. *

$3x-4y+2=0:\quad y=\frac{3}{4}x+\frac{1}{2}\\\\\frac{3}{4}x+\frac{1}{2}:\quad \frac{4x-2}{3}\\\\\\y=\frac{3}{4}x+\frac{1}{2}\\\\x=\frac{3}{4}y+\frac{1}{2}\:\mathrm{para}\:y\\\\\\\mathrm{Inclinacao\:de\:}\frac{3}{4}x+\frac{1}{2}:\quad m=\frac{3}{4}$