The given equation of the line is:
[tex]y-5=-3(x-17)[/tex]
It is required to determine the slope of the line.
Recall that the point-slope form of the equation of a line is given as:
[tex]y-b=m(x-a)[/tex]
Where m is the slope of the line and it passes through the point (a,b).
Notice that the given equation is in the point-slope form.
Notice that the slope is m=-3.
The answer is option A.
