Step 1: Find the slope using [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]:
[tex]m= \dfrac{1-(-2)}{4-(-2)} = \dfrac{3}{6} = \dfrac{1}{2}[/tex]
Step 2: Plug the slope and one-point into point-slope form [tex]y-y_1 = m(x-x_1)[/tex]:
Let's use (4,1) since there's no negative involved. That makes it easier:
[tex]y-1 = \frac{1}{2}(x-4)[/tex]