Answer:
Therefore the Slope of the line is
![Slope=-(3)/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/f3gooqpwinzxgxxs8mqq9wtcbig8mj2ory.png)
Explanation:
Given:
Let,
point A( x₁ , y₁) ≡ ( 1 , -5)
point B( x₂ , y₂ )≡ (-4 , -2)
To Find:
Slope of Line AB =?
Solution:
Slope of line between Two points is given as
![Slope(AB)=(y_(2)-y_(1) )/(x_(2)-x_(1) )](https://img.qammunity.org/2021/formulas/mathematics/high-school/mm96vfe39wczh201tjs4bp3vi0s32mj1v0.png)
Substituting the values we get
![Slope=(-2-(-5))/(-4-1)=(3)/(-5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/u30fcraa7r30bij3gjj5nbc293rvgadj41.png)
Therefore the Slope of the line is
![Slope=-(3)/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/f3gooqpwinzxgxxs8mqq9wtcbig8mj2ory.png)