Solution
We are given the equation
[tex]2x-3y=6[/tex]Basically, in order to find the y - intercept, we only need to put x = 0
[tex]\begin{gathered} 2x-3y=6 \\ 2(0)-3y=6 \\ 0-3y=6 \\ 3y=-6 \\ divide\text{ through by 3} \\ \frac{3y}{3}=-\frac{6}{3} \\ y=-2 \end{gathered}[/tex]Therefore, the answer is
[tex]-2[/tex]