The slope of the line is given by:
[tex]m=\frac{4-2}{(-1)-(-2)}=2[/tex]If a line has slope m and passes through the point (a,b), its equation in the point slope form is given by: (y-b) = m(x - a)
Then, if (a,b) = (-1,4), we have: y - 4 = 2(x + 1) (option C)