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Verified Answer :

One way to find the y int is to sub in 0 for x and solve for y

-3x + 9y = -54
-3(0) + 9y = -54
9y = -54
y = -54/9
y = -6....so ur y int is -6 or (0,-6)

Simple...

you have: -3x+9y=-54

If you want to find the yi-intercept of this line you must first re-write it in y=mx+b form-->>

-3x+9y=-54

-3x+9y=-54
+3x      +3x

9y=3x-54

Now divide by 9...

\(\frac{9y}{9} = \frac{3x-54}{9}\)

y=\(\frac{1}{3} x-6\)

As we can see the y-intercept is located at (0,-6).

Thus, your answer.