Point Slope = y-y1 = m(x-x1)
1. -1/2 = m or slope so (y-y1=-1/2(x-x1)
2. Use points (-4,-9), -4 = x1, -9 = y1
( y - - 9 = -1/2(x- -4) -->(y+9=-1/2(x+4)
Now you have it in point slope form. Then convert it to Slope Intercept.
3. y+9 = -1/2(x+4) -9
-9
y = -1/2x -2 - 9
4. Slope Intercept > Y = -1/2 - 11