write slope interception form the equation of the line thay passes through (0,-2) and is perpendicular to the line 3y-2x=5

interceptions occur in football.

intercepts occur in algebra

the given line can be written as

y = 2/3 x + 5/3
so it is easy to see it has slope 2/3

the perpendicular has slope -3/2
so, now you have a slope and a point:

y+2 = -3/2 (x-0)
which you can rearrange as you wish.