Instrucciones: Responde las siguientes preguntas.

• Convierte la ecuación de recta \(x-2y+1 = 0\) a su forma normal.
  • $$\frac{\sqrt{10}}{10}x-\frac{\sqrt{10}}{5}y-\frac{\sqrt{10}}{10} = 0$$
  • $$-\frac{\sqrt{5}}{5}x+\frac{2\sqrt{5}}{5}y-\frac{\sqrt{5}}{5} = 0$$
  • $$x-y-1 = 0$$
  • $$\frac{1}{2}x-y-\frac{1}{2} = 0$$

• Convierte la ecuación de recta \(8x+15y-1 = 0\) a su forma normal
  • $$\frac{8}{17}x+\frac{15}{17}y-\frac{1}{17} = 0$$
  • $$\frac{8}{7}x+\frac{15}{7}y-\frac{1}{7} = 0$$
  • $$\frac{8}{11}x+\frac{15}{11}y-\frac{1}{11} = 0$$
  • $$\frac{8}{3}x+5y-\frac{1}{3} = 0$$

• Convierte la ecuación de recta \(12x+5y-7 = 0\) a su forma normal.
  • $$2x+\frac{5}{12}y-\frac{7}{12} = 0$$
  • $$\frac{12}{13}x+\frac{5}{13}y-\frac{7}{13} = 0$$
  • $$3x+\frac{5}{4}y-\frac{7}{4} = 0$$
  • $$4x+\frac{5}{3}y-\frac{7}{3} = 0$$

• Convierte la ecuación de recta \(3x-3y-40 = 0\) a su forma normal.
  • $$\frac{\sqrt{2}}{2}x-\frac{\sqrt{2}}{2}y-\frac{20\sqrt{2}}{3} = 0$$
  • $$\frac{3\sqrt{2}}{2}x-\frac{3\sqrt{2}}{2}y+20\sqrt{2} = 0$$
  • $$\frac{\sqrt{15}}{5}x-\frac{\sqrt{15}}{5}y+\frac{8\sqrt{15}}{3} = 0$$
  • $$6\sqrt{2}x-6\sqrt{2}y+40\sqrt{2} = 0$$

• Convierte la ecuación de recta \(3x-5y-2 = 0\) a su forma normal.
  • $$\frac{6\sqrt{5}}{5}x-2\sqrt{5}y+\frac{4\sqrt{5}}{5} = 0$$
  • $$\frac{3\sqrt{34}}{34}x-\frac{5\sqrt{34}}{34}y-\frac{\sqrt{34}}{17} = 0$$
  • $$\frac{6\sqrt{7}}{7}x-\frac{10\sqrt{7}}{7}y+\frac{4\sqrt{7}}{7} = 0$$
  • $$\frac{3\sqrt{41}}{41}x-\frac{5\sqrt{41}}{41}y+\frac{2\sqrt{41}}{41} = 0$$