Respuesta :

Stephen46

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question we have

[tex]m = \frac{ - 22 - - 2}{ - 4 - - 4} = \frac{ - 22 + 2}{ - 4 + 4} = - \frac{20}{0} \\ [/tex]

Any number divided by zero is undefined so the slope of the line is undefined.

Hope this helps you

FadedElla

Answer:

  • Undefined ([tex]\infty [/tex])

Step-by-step Explanation:

We need to find the slope of the line joining the points (-4, -2) and (-4, -22).

We know that, Slope is the difference of abcsissa (x - coordinate) / difference of ordinates (y-coordinate)

[tex]m = \dfrac{y2 - y1}{x2 - x1} [/tex]

Here:

  • x1 = -4
  • x2 = -4
  • y1 = -2
  • y2 = -22

Plugging these values:

[tex]m = \dfrac{ - 22 - ( - 2)}{ - 4 - ( - 4)} [/tex]

This can be written as:

[tex]m = \dfrac{ - 22 + 2}{ - 4 + 4} [/tex]

[tex]m = \dfrac{ - 20}{0} = \infty [/tex]

Here, The slope of the line is infinite or undefined. An undefined slope (or an infinitely large slope) is the slope of a vertical line!