[tex]v[/tex] starts at the point (-5, 0) and ends at the point (7, 2). It points in the same direction as the vector [tex]w[/tex] where
[tex]w=(7,2)-(-5,0)=(12,2)[/tex]
which starts at the origin and ends at (12, 2). Its direction [tex]\theta[/tex] is such that
[tex]\tan\theta=\dfrac2{12}=\dfrac16[/tex]
[tex]w[/tex] terminates in the first quadrant, so both [tex]w[/tex] and [tex]v[/tex] have direction
[tex]\theta=\tan^{-1}\dfrac16\approx9.5^\circ[/tex]
