The general equation of a line in slope intercept form is:-

y = mx + c

where, m = slope of the line and c = y-intercept of the line

Now, the given equation of the line is :-

2x + 3y - 9 = 0

or, 3y = -2x...

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The general equation of a line in slope intercept form is:-

y = mx + c

where, m = slope of the line and c = y-intercept of the line

Now, the given equation of the line is :-

2x + 3y - 9 = 0

or, 3y = -2x + 9

Dividing both sides by 3, we get:

y = -(2/3)x + 3

Comparing the above equation with the general equation of the slope intercept form, we get

m = -(2/3) & c = 3