how do I put -27x=-9y-45 in slope-intercept form?

Answer 1

9y+27x-45
divide both sides by 9:
Y = 3x-5.

Answer 2

1. the y term alone on the left
9y = 27x - 45
2. divide by the coefficient of the y term
y = (27/9)x - 45/9
y = 3x - 5

or
notice that each term divides by 9 , ---> -3x = -y - 5
rearrange to
y = 3x - 5