The line drops 4 units between the points (1, 6) and (6, 2) as it goes over 5 units. Thus the point-slope form of the equation can be written as
... y - k = m(x - h) . . . . . . line with slope m through point (h, k)
... y - 6 = (-4/5)(x - 1)
Multiplying by 5 and subtracting the right side gives ...
... 5y - 30 = -4x +4
... 4x + 5y - 34 = 0 . . . . . equation in general form