What is the parametrisation through the points (9,-2), (3,5)

Then Eliminate the parameter for the line

parametrisation ???

slope or direction = -7/6 , I assume you know how I got that

(x,y) = (3,5) + t(6,-7)

parametric equation:
x = 3 + 6t ---> t = (x-3)/6
y = 5 - 7t ---> t = (y-5)/-7

(x-3)/6 = (y-5)/-7
6y - 30 = -7x + 21
7x + 6y = 51