Answer: The slope between two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)
We are given that the slope between (8, y) and (14, -13) is -2/3. So we can use this information to set up the equation:
-2/3 = (-13 - y) / (14 - 8)
To find y, we can solve for y:
-2/3 = (-13 - y) / 6
-2 = -13 - y
y = 11
So the value of y is 11.
Explanation: