Answer:
<h2>
-4</h2>
Option B is the correct option
Step-by-step explanation:
Let the points be A and B
A ( -1 , 8 ) -----> ( x1 , y1 )
B ( 2 , -4 ) -----> ( x2 , y2 )
Now, let's find the slope of the line:
![\frac{y2 - y1}{x2 - x1}](https://tex.z-dn.net/?f=%20%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D%20)
plug the values
![= \frac{ - 4 - 8}{2 - ( - 1)}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B%20-%204%20-%208%7D%7B2%20-%20%28%20-%201%29%7D%20)
Calculate the difference
![\frac{ - 12}{2 - ( - 1)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%2012%7D%7B2%20-%20%28%20-%201%29%7D%20)
When there is a (-) in front of an expression in parentheses , change the sign of each term in expression
![\frac{ - 12}{2 + 1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%2012%7D%7B2%20%2B%201%7D%20)
Add the numbers
![= \frac{ - 12}{3}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B%20-%2012%7D%7B3%7D%20)
Reduce the fraction with 3
![= - 4](https://tex.z-dn.net/?f=%20%3D%20%20-%204)
Hope this helps..
Best regards!!