Respuesta :

Answer:

The slop is undefined

i.e. [tex]m=\infty[/tex]

Step-by-step explanation:

Considering the slope formula

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

As the points are (7, -4) and (7, 0)

Here:

  • (x₁, y₁) = (7, -4)
  • (x₂, y₂) = (7, 0)

[tex]\mathrm{When\:}y_1\ne \:y_2\mathrm{\:and\:}\:x_1=x_2\mathrm{\:the\:slope\:is\:}\infty[/tex]

so

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

            [tex]=\frac{\left(0-\left(-4\right)\right)}{\left(7-7\right)}[/tex]

             [tex]=\frac{0-\left(-4\right)}{0}[/tex]

             [tex]=\infty[/tex]    

Therefore, the slop is undefined i.e. [tex]m=\infty[/tex]