In order to construct the line in the form y=mx+b, we need to find the slope of the line using the two points given and the following formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]then,
[tex]\begin{gathered} m=\frac{-3-5}{2-(-2)} \\ m=\frac{-8}{4} \\ m=-2 \end{gathered}[/tex]then, using the general structure find the y-intercept with one of the points
[tex]\begin{gathered} y=mx+b \\ using\text{ }(2,-3) \\ -3=(-2)(2)+b \\ -3=-4+b \\ -3+4=b \\ 1=b \end{gathered}[/tex]Answer:
The equation of the line is:
[tex]y=-2x+1[/tex]