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