Plug them into point-slope form.
y - y1 = m(x - x1)
Where y1 is the y-value of the point, x1 is the x-value, and 'm' is the slope.
Plug in what we know:
y - 4 = -5(x + 2)
So one of our answers is C.
Now distribute -5 into the parenthesis:
y - 4 = -5x - 10
Add 4 to both sides:
y = -5x - 6
Add 5x to both sides:
5x + y = -6
So the other answer is B.