Answer:
3
Explanation:
To identify the y-intercept represented by the given equation, we need to get the equation into slope-intercept from:
![y=mx+b](https://img.qammunity.org/2021/formulas/mathematics/middle-school/yj5waqmoy4i54laybzhhshd88hyo5w5rj5.png)
![m=slope](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ifmjokb2b1tunh6nmbtfkqmabwqzgtgmxj.png)
![b=y-intercept](https://img.qammunity.org/2021/formulas/mathematics/middle-school/bmnvp606can914oag9eqffb78eul7s1c00.png)
Start with:
![3x+2y=6](https://img.qammunity.org/2021/formulas/mathematics/college/d7x0s5clsztgqgagknvwambe600fyg05s9.png)
Subtract
from both sides of the equation:
![2y=-3x+6](https://img.qammunity.org/2021/formulas/mathematics/college/mfnpgc8dun99fmsh8qitaom4jfzvl5hv7i.png)
Divide both sides of the equation by the coefficient of
, which is
:
![y=-1.5x+3](https://img.qammunity.org/2021/formulas/mathematics/college/rs5kng42gwgu26deeb8u9kntsnu7ohe26h.png)
Identify the y-intercept:
![b=3](https://img.qammunity.org/2021/formulas/mathematics/college/1a6koqmaiqbnujqbp8k9ck377l3defol4z.png)