Respuesta :

Answer:

Undefined

Step-by-step explanation:

(see attached for reference)

in our case, we are given 2 points

(x₁, y₁) = (-9,-6)

(x₂, y₂) = (-9,-10)

immediately we can see that the x-ordinate for both points are the same, which means that if we were to draw a line through both points, it would form a vertical line.

By definition, a vertical line has a slope that is undefined (answer)

Ver imagen marcthemathtutor

The slope of the given line is undefined.

The slope of line:

  • If a line y = mx + c passes through [tex]A(x_1,y_1) \ and \ B(x_2, y_2)[/tex], then slope, m is given by [tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex] .

How to solve the given question?

  • As the line passes through (-9,-6) and ( -9, -10),
    The slope is given by,
                           [tex]m = \frac{y_2 -y_1}{x_2 - x_1} = \frac{(-10) - (-6)}{(-9) - (-9)} =\frac{-4}{0}[/tex]
  • Slope, m = undefined.

Thus, the slope of the given line is undefined.

Find more about slope here:

https://brainly.com/question/3493733

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