Respuesta :

Answer:

Slope of line (i) = 1.5

Step-by-step explanation:

  • Line (i) is perpendicular to;
  • Line (ii) whose equation is y = [tex]-\frac{2}{3} x + 12[/tex]

The slope of line (ii) = [tex]-\frac{2}{3}[/tex]

* Mathematics rule: The product of slopes of two perpendicular lines = -1

∴ The slope of line (i) = -1 ÷ [tex]-\frac{2}{3}[/tex] = 3/2 = 1.5