Respuesta :

Answer:

Therefore the Slope of the line is

[tex]Slope=-\dfrac{3}{5}[/tex]

Step-by-step 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

[tex]Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Substituting the values we get

[tex]Slope=\dfrac{-2-(-5)}{-4-1}=\dfrac{3}{-5}[/tex]

Therefore the Slope of the line is

[tex]Slope=-\dfrac{3}{5}[/tex]

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