Answer:
3
Step-by-step explanation:
To identify the y-intercept represented by the given equation, we need to get the equation into slope-intercept from:
[tex]y=mx+b[/tex]
[tex]m=slope[/tex]
[tex]b=y-intercept[/tex]
Start with:
[tex]3x+2y=6[/tex]
Subtract [tex]3x[/tex] from both sides of the equation:
[tex]2y=-3x+6[/tex]
Divide both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]2[/tex]:
[tex]y=-1.5x+3[/tex]
Identify the y-intercept:
[tex]b=3[/tex]