We know that the equation of a line with slope m and passing through the point (x0,y0) is given by (y–y0) = m (x–x0).
Here m =

1

2

, x0 = - 4 , y0 = 3
Hence, the required equation is
(y - 3) =

1

2

(x + 4) ⇒ 2y - 6 = x + 4 ⇒ x - 2y + 10 = 0