Respuesta :

Answer:

[tex]-\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]rule of slope = \frac{y^2-y^1}{x^2-x^1}[/tex]

4 - 6 = -2

6 - -2 = 8

-2 ÷ 8 = -0.25 (-1/4)

Answer:

The slope is [tex]-\frac{1}{4}[/tex]

Step-by-step explanation:

Let [tex](x_1,y_1)=(-2,6)[/tex] and [tex](x_2,y_2)=(6,4)[/tex].

The slope of the line passing through these two points is given by;

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We substitute the values to obtain;

[tex]m=\frac{4-6}{6--2}[/tex]

[tex]m=\frac{-2}{8}[/tex]

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

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