Answer:
y +17 = -5/3(x -19)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
You want a line with slope -5/3 through point (19, -17). Its equation is ...
y -(-17) = -5/3(x -19) . . . . . substitute the given values
y +17 = -5/3(x -19) . . . . . simplify