Answer:
3
Step-by-step explanation:
We are given the following equation of a line and we are to tell its y intercept:
[tex] -3x + 2y = 6 [/tex]
We know that the standard form of the equation of a line is in the following form:
[tex]y =mx+c[/tex]
where [tex]c[/tex] is the y-intercept.
So converting the given equation in the form of the standard equation to get:
[tex] 2y = 3x + 6 [/tex]
[tex] y = \frac{3}{2}x + \frac{6}{2} [/tex]
[tex] y = \frac{3}{2} x+3 [/tex]
Therefore, the y-intercept for the equation is 3.
