To find the x-intercept set y =0. Solve for x.
6x+5y=-30
6x+5(0)=-30
6x+0=-30
6x=-30
x=-30/6
x=-5
The x-intercept is at (-5, 0)
To find the y-intercept set x =0. Solve for y.
6x+5y=-30
6(0)+5y=-30
0+5y=-30
5y=-30
y=-30/5
y=-6
The y-intercept is at (0, -6)