The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m represents slope
c represents y intercept
Rearranging the equation so that it takes the slope intercept form, it becomes
- 4x + 3y = - 30
3y = 4x - 30
y = 4x/3 - 30/3
y = 4x/3 - 10
The y intercept is - 10
The graph is shown in the attached photo
We can see that the line cuts through the y axis at y = - 10. This is the y intercept