Answer:
The parametric equations are:
x(t) = 2 + 5t
y(t) = -4 - 6t
z(t) = 2 - 5t
Step-by-step explanation:
The equation can be written as:
P = Po + vt
Where Po is the point (2, -4, 2)
V is the direction vector (5, -6, -5)
The equation above becomes
P = (2, -4, 2) + (5, -6, -5)t
P = (2, -4, 2) + (5t, -6t, -5t)
P = (2+5t, -4-6t, 2-5t)
The parametric equations are therefore:
x(t) = 2 + 5t
y(t) = -4 - 6t
z(t) = 2 - 5t
