You can put this solution on YOUR website! Rearrange:
2y+3x=-2
so that is in the "slope-intercept" form:
y = mx + b
where
b is the y-intercept at (0,b)
.
2y+3x=-2
2y = -3x-2
y = (-3/2)x - 1
from inspection we see that b is -1
so the y-intercept is at (0, -1)