Question

Find the distance between the points (0,-2) and (-8,-8)

Answer 1

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 $(x_1,y_1)$ and $(x_2,y_2)$ the distance is given as:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Plugging in the given points in the formula.

$d=\sqrt{(-8-0)^2+(-8-(-2))^2}$

$d=\sqrt{(-8)^2+(-8+2))^2}$

$d=\sqrt{(-8)^2+(-6)^2}$

$d=\sqrt{64+36}$

$d=\sqrt{100}$

$d=\pm10$

Since distance is always positive. So $d=10$ units.