What is the y-intercept of the line 2x+3y = 6?
A.(0,2)
B.(2,0)
C.(0,3)
D.(3,0)

Choice A (0,2)

Step-by-step explanation:

Solve for y:

2x + 3y = 6

3y = -2x+6

y=-2/3x+2

Sub x as 0 to find y:

y=-2/3(0)+2

y=2

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x