Question

(-10,-7) (-8,1) find the distance between two points

Answer 1

Answer: $\sqrt{68}$ units.

Step-by-step explanation:

The distance between points (a, b) and (c, d) is given by :_

$D=\sqrt{(d-b)^2+(c-a)^2}$

Given points : (-10,-7) (-8,1)

Distance between points (-10,-7) and (-8,1) = $\sqrt{(1-(-7))^2+(-8-(-10))^2}$

$=\sqrt{(1+7)^2+(-8+10)^2}\\\\=\sqrt{8^2+2^2}\\\\=\sqrt{64+4}\\\\=\sqrt{68}$

Hence, distance between given points = $\sqrt{68}$ units.