Respuesta :

Answer:

The slope of the line is: m = 1

Step-by-step explanation:

From the attached graph, we take the two points

  • (0, 5)
  • (-5, 0)

Now, determining the slope between the points (0, 5) and (-5, 0)

Slope = Rise / Run

Please also check the attached diagram to check Rise and Run.

so

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

[tex]\left(x_1,\:y_1\right)=\left(0,\:5\right),\:\left(x_2,\:y_2\right)=\left(-5,\:0\right)[/tex]

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

Refine

[tex]m=1[/tex]

Therefore, the slope of the line is: m = 1

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