Respuesta :

Answer:

40/9

Step-by-step explanation:

9y = -8x + 40

y = -8/9x + 40/9

Answer:

y-intercept or "b"= 40/9 or 4.4444

Step-by-step explanation:

To do this, we use the formula y = mx +b

m= slope

b = y intercept

The equation we are given is 8x +9y = 40.

First, we need to subtract 8x from both sides to isolate the y variable to one side:

8x +9y = 40

9y = -8x + 40

Now, we need to divide both sides by 9, to solve for "y". This will give use the format of y = mx +b.

9y = -8x +40

y = -8/9x + 40/9

Because 40/9 cannot be reduced (besides 4.44), it will be our "b" or y intercept.

y-intercept = 40/9

I hope this helps!

-TheBusinessMan