Find the y and x-intercept for -x+3y+3

-x+3y+3=0 <-- This puts the expression into an equation to make it solvable.
3y+3=x  <-- Use Addition Property of Exponents to move the (x) to the right
3y=x-3 <-- Use Subtraction Property of Exponents to move the (3) to the right
y=-1 <-- Use Division Property of Exponents to remove the 3 from y
y=-1 < This is the equation for the y-intercept

-x+3y+3=0 <-- Same as above, makes it so the expression is an equation to solve
-x+3=-3y <-- Use Subtraction Property of Exponents to move the 3y to the right
-x=-3y-3 <-- Use Subtraction Property of Exponents to move the 3 to the right
x=3y+3 <--Use Divison Property of Exponents to remove the -1 from x
x=3y+3 <-- This is the equation for the x-intercept

Hope this helped!