What is the equation in slope intercept form of s like that passes through the points (3,2) and (-5,-8)

The slope of the line =  (2- -8) / (3 - - 5) = 10 / 8

= 5/4

y -  y1 = m(x - x1)  where m = slope and (x1, y1) is a point on the line so here we have:-

y - 2 = 5/4(x - 3)

y = 5/4x  - 15/4 + 2

y = 5/4 x - 7/4  is the answer