Write an equation in slope-intercept form for the line that passes through (-2,3) and is parallel to the line whose equation 3x 2y=6

Are you missing an operand between 3x and 2y? should it be 3x - 2y = 6?

If so than to be parallel to another line, the slopes of the lines must be the same. So we could get the slope of the second line by writing it I. slope intercept form:
3x - 2y = 6
3x - 6 = 2y
3/2x - 6 = y

And so the slope of both lines are 3/2.
Now we can use the defiition of slope intercept form:
y = mx + b
where m is the slope and b is t intercept.
We use the determined slope for m and plug in the coordinates of the other line to find b:
3 = (3/2) * -2 + b
3 = -3 + b
b = 6

Now full fill in m and b and final answer is:
y = 3/2x + 6