Answer:
and
![m=(-5-3)/(12+4)](https://img.qammunity.org/2023/formulas/mathematics/college/jnbw6soytf4gkqjgsogpo1v6prkqkek081.png)
Explanation:
The correct formula for finding the slope is:
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/78uaqhwt0aws3qfwxigaftpihnmb1gzxtp.png)
This formula represents the change in y over a corresponding change in x. This is a mathematical representation of "rise" (y-axis movement) over "run" (x-axis movement).
For the second question, let
![(x_1,y_1)=(-4,3)\\(x_2,y_2)=(12,-5)](https://img.qammunity.org/2023/formulas/mathematics/college/aamhfjsyswl6ryk5nj869cq2urxx2okxrt.png)
So,
![m=((-5)-(3))/((12)-(-4))\\m=(-5-3)/(12+4)](https://img.qammunity.org/2023/formulas/mathematics/college/16efzxgg8truln3gopw2nksmblxdruqbho.png)