There is a graphing equation that is very useful; it's called the "point-clope" form.
Obviously, you'll need both a point and the slope to use it.
It is: y - y1 = m( x - x1)
where m is the slope and the known point is (x1, y1).
1) m = -2 (x1, y1) = (-1, -5) ---> x1 = -1 and y1 = -5
Placing those into the formula: y - -5 = -2(x - -1)
Simplifying: y + 5 = -2(x + 1) ---> y + 5 = -2x - 2 ---> y = -2x - 7
2) This formula needs the slope, so find the slope using m = (y2 - y1) / (x2 - x1)
(2, -3) ---> x1 = 2 and y1 = -3 (6, 5) ---> x2 = 6 and y2 = 5
m = (5 - -3) / (6 - 2) ---> m = 8 / 4 ---> m = 2
Using the point-slope formula: y - -3 = 2(x - 2) ---> y + 3 = 2x - 4 ---> y = 2x - 7