In general point-point form, the equation for the line through (a,b) and (c,d) is
[tex](c-a)(y-b) = (d-b)(x-a)[/tex]
Here we have (a,b)=(-1,7) and (c,d)=(-2,3)
[tex](-2 - -1) (y - 7) = (3 - 7)(x - -1)[/tex]
[tex] -1(y - 7) = -4(x+1)[/tex]
[tex]y - 7 = 4 (x+1)[/tex]
Answer: Choice D