Hello!
We already know:
• slope ,(m) = 1/2
,• point ,(x, y) = (-2, 3)
To write the equation of the line, we must use the formula below:
[tex]y-y_p=m(x-x_p)[/tex]So, let's replace with the values in the formula:
[tex]\begin{gathered} y-3=\frac{1}{2}(x-(-2)) \\ y-3=\frac{1}{2}(x+2) \\ 2y-6=x+2 \\ x+2+6-2y=0 \\ \boxed{x-2y+8=0} \end{gathered}[/tex]