v = 6i - 3j
Explanation:The initial point, P₁ = (-8, 6)
The terminal point, P₂ = (-2, 3)
v is the vector from the initial point P₁ to the terminal point P₂
[tex]\begin{gathered} x=P_{2x}-P_{1x} \\ x=-2-(-8) \\ x=-2+8 \\ x=6 \end{gathered}[/tex][tex]\begin{gathered} y=P_{2y}-P_{1y} \\ y=3-6 \\ y=-3 \end{gathered}[/tex]The vector, v = xi + yj
v = 6i + (-3)j
v = 6i - 3j