The points (-2, 4) and (-2,-2) are vertices of a heptagon.
Explain how to find the length of the segment formed by
these endpoints. How long is the segment?

Respuesta :

Answer:

  • 6 units

Step-by-step explanation:

It is assumed that the points represent consecutive vertices.

These points have equal x- coordinates so the distance between them is the absolute value of difference of the y-coordinates:

  • d = |-2 - 4| = | - 6| = 6 units

Find the distance

[tex]\\ \tt\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \tt\longmapsto \sqrt{(-2+2)^2+(-2-4)^2}[/tex]

[tex]\\ \tt\longmapsto \sqrt{(-6)^2}[/tex]

[tex]\\ \tt\longmapsto \sqrt{36}[/tex]

[tex]\\ \tt\longmapsto 6units[/tex]