An equation of the line passing through (6,−3) having slope −35 is

If your given slope is - 35, your equation starts off as y = - 35x + b

Now we plug in the point given and solve for b. 

- 3 = - 35(6) + b
- 3 = - 210 + b
207 = b

So your equation is:
y = - 35x + 207