Answer:
[tex]\vec C = (-5,4)[/tex]
Step-by-step explanation:
The coordinates of the point located 1/5 of the way from B to A is:
[tex]\vec C = \vec B + \alpha \cdot \overrightarrow {BA}[/tex]
[tex]\vec C = (-6,3) + \frac{1}{5}\cdot (-1+6,8 - 3)[/tex]
[tex]\vec C = (-6,3) + \frac{1}{5}\cdot (5,5)[/tex]
[tex]\vec C = (-6,3) + (1,1)[/tex]
[tex]\vec C = (-6+1,3+1)[/tex]
[tex]\vec C = (-5,4)[/tex]
