Answer:
Distance between the points = 10 units
Step-by-step explanation:
Given points:
(0,-2) and (-8,-8)
To find the distance between the two points.
Solution:
Applying distance formula to find the distance between the points.
For points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] the distance is given as:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Plugging in the given points in the formula.
[tex]d=\sqrt{(-8-0)^2+(-8-(-2))^2}[/tex]
[tex]d=\sqrt{(-8)^2+(-8+2))^2}[/tex]
[tex]d=\sqrt{(-8)^2+(-6)^2}[/tex]
[tex]d=\sqrt{64+36}[/tex]
[tex]d=\sqrt{100}[/tex]
[tex]d=\pm10[/tex]
Since distance is always positive. So [tex]d=10[/tex] units.
