Answer:
B) x = -4t - 1; y = 8t - 1; z = 4t - 1
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given points are P(-1,-1,-1) and Q(-5,7,3)
Let (x₁ , y₁ , z₁) = P(-1,-1,-1)
Let (x₂ , y₂ , z₂) = Q(-5,7,3)
Parametric equation of the line passing through the points (x₁ , y₁ , z₁) and (x₂ , y₂ , z₂)
Equating each term
⇒ x + 1 = - 4 t
⇒ x = - 4 t -1
y + 1 = 8 t
⇒ y = 8 t - 1
⇒ z +1 = 4t
⇒ z = 4t -1
<u><em>Final answer</em></u><em>:</em>-
parametric equations for the line through point P(-1,-1,-1) and Q(-5,7,3)
are
x = -4t - 1; y = 8t - 1; z = 4t - 1