Respuesta :

y intercept is when the line crosses the y axis or when x=0
set x=0

2(0)+5y=-30
0+5y=-30
5y=-30
divide 5
y=-6

value of y intercept is -6 or (0,-6)
first we have to solve the equation for y

2x +5y=-30
-2x         -2x

5y=-2x-30
--    -------------
5            5

y=-2/5x-6

now, the y-intercept is in the b position in y=mx+b so the y intercept is -6