Respuesta :

6

sorry it's late but hopefully it can help someone else

Answer:

The distance between the point (−10, −2) and the point (−4, −2) is 6 units .

Step-by-step explanation:

Formula

[tex]Distance\ formula = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

As given

The distance between the point (−10, −2) and the point (−4, −2) .

[tex]Distance\ formula = \sqrt{(-4-(-10))^{2}+(-2-(-2))^{2}}[/tex]

[tex]Distance\ formula = \sqrt{(-4+10)^{2}+(-2+2)^{2}}[/tex]

[tex]Distance\ formula = \sqrt{(6)^{2}+(0)^{2}}[/tex]

[tex]Distance\ formula = \sqrt{36}[/tex]

[tex]\sqrt{36}=6[/tex]

[tex]Distance\ formula =6\ units[/tex]

Therefore the distance between the point (−10, −2) and the point (−4, −2) is 6 units .