Respuesta :

Slope formula is:

[tex]m =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]    

Now you plug in the points.

(-4,5) is (x₁ , y₁)

(0,6) is (x₂ , y₂)


[tex]m =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]    

[tex]m=\frac{6-5}{0-(-4)}[/tex]

[tex]m=\frac{6-5}{0+4}[/tex]

[tex]m=\frac{1}{4}[/tex]

GoddessofDork

Steps:

  • Slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] , with (x₁, y₁) and (x₂, y₂) as coordinates.

So with this, we will be applying the slope formula with these 2 coordinates as such:

[tex]\frac{6-5}{0-(-4)}=\frac{1}{4}[/tex]

Answer:

The slope of this line is 1/4.

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