karmacankickme
karmacankickme karmacankickme
  • 20-04-2021
  • Mathematics
contestada

Is PS a vertical line, a horizontal line, or neither?

P (-1,0), S (-1,7)

Respuesta :

erinna erinna
  • 25-04-2021

Given:

The two points are P (-1,0) and S (-1,7).

To find:

Whether the line PS is vertical, horizontal or neither.

Solution:

We have, two points P (-1,0) and S (-1,7).

Slope of the line PS is:

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

[tex]m=\dfrac{7-0}{-1-(-1)}[/tex]

[tex]m=\dfrac{7}{0}[/tex]

[tex]m=\infty[/tex]

We know that the slope of a vertical line is [tex]\infty[/tex].

Since the slope of the line PS is [tex]\infty[/tex], therefore PS is a vertical line.

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