Answer:
m =
![-(5)/(7)](https://img.qammunity.org/2023/formulas/mathematics/college/1f1ermz7nt1yb1xxqvnmx7qi2w06nxekuq.png)
Explanation:
The formula to find slope is :
m =
![(y_1-y_2)/(x_1-x_2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/xhzs268bpe35auvvmtejseawcsuys2jjpj.png)
Let us use the given two coordinates of the line to find the slope.
( -2 , 4 ) ⇒ ( x₁ , y₁ )
( 5 , -1 ) ⇒ ( x₂ , y₂ )
Let us solve now.
m =
![(y_1-y_2)/(x_1-x_2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/xhzs268bpe35auvvmtejseawcsuys2jjpj.png)
m =
![(4-(-1))/(-2-5)](https://img.qammunity.org/2023/formulas/mathematics/college/enppsy20cd5x3r7ffaq38q940vmwj3hi8l.png)
m =
![(4+1)/(-7)](https://img.qammunity.org/2023/formulas/mathematics/college/isrjsfy11o06i9ibwz38h8eq4pz8lu73hf.png)
m =
![(5)/(-7)](https://img.qammunity.org/2023/formulas/mathematics/college/g66bcoyglyo352mrqitp9i3np5mdu9taqm.png)
m =
![-(5)/(7)](https://img.qammunity.org/2023/formulas/mathematics/college/1f1ermz7nt1yb1xxqvnmx7qi2w06nxekuq.png)
Hope this helps you :-)
Let me know if you have any other questions :-)