Answer:
-6
Step-by-step explanation:
The slope formula is m = (change in y) / (change in x).
Here, (change in y) / (change in x) = -5/2, If the change in y is -1 - y and the change in x is -8 - [-6], or -2, then:
(change in y) / (change in x) = -5/2 becomes:
-1 - y
---------- = -5/2,
-2
... which simplifies to -1 -y = 5. Adding 1 to both sides results in
-y = 5 + 1.
Solving for y yields y = -6.
The value of y in (-6,y) and (-8,-1); slope:-5/2 is therefore -6.
