In order to find the x-intercept, you would have to plug 0 into y
5x + 6(0) = -30
5x = -30
x = -6
Therefore the x-intercept is at (-6,0)
In order to find the y-intercept, you would plug 0 into x
5(0) + 6y = -30
6y = -30
y = -5
Therefore the y-intercept is at (0,-5)