Respuesta :

Equation of the line is x + 6y = 0

Step-by-step explanation:

  • Step 1: Given points are (-3,0.5) and (3,-0.5)
  • Step 2: Find slope of the line, m = (y2 - y1)/(x2 - x1)

⇒ m = (-0.5 - 0.5)/(3 - -3) = -1/6

  • Step 3: Form the equation using the formula (y - y1) = m(x - x1)

⇒ y - 0.5 = -1/6(x - -3)

⇒ y - 0.5 = -1/6(x + 3)

⇒ 6(y - 0.5) = -x - 3

⇒ 6y - 3 = - x - 3

x + 6y = 0