Problem #$1$: Equation of a line $(10$ points$)$

Line $AB$ is defined by the following equation: $y=-1\mathrm{.}524x+358\mathrm{.}61.$ Point A has coordinates of $N350\mathrm{.}00,$ E$620\mathrm{.}00.$ Line AB has a length of $260\mathrm{.}00.$ Point $B$ is located to the north of point A along the line.

Determine the following:

a$.$ The departure and latitude of the line.

b$.$ The coordinates at point B$.$

c$.$ The azimuth and bearing of the line.