The slope intercept form of the equation is express as;
[tex]y_{}=\frac{y_2-y_1}{x_2-x_1}(x-x_1)+y_1[/tex]The given points are (-2,1) and (5,-3);
[tex]\text{ Substitute x}_1=-2,y_1=1,x_2=5,y_2=-3[/tex]Thus, the expression will be;
[tex]y_{}=\frac{y_2-y_1}{x_2-x_1}(x-x_1)+y_1[/tex]