Question

Find the distance between each pair of points.(-4,6) and (3,-7)(-6,-5) and (2,0)(-1,4) and (1,-1)(0,-8) and (3,2)

Answer 1

The distance between two points (x1 , y1) and (x2 , y2) are:

`d=\sqrt[]{(x2-x1)^2+(y2-y1)^2}`

The distance between the points (-4, 6) and (3, -7)

`=\sqrt[]{(3--4)^2+(-7-6)^2}=\sqrt[]{7^2+13^2}=\sqrt[]{218}=14.765`

The distance between the points ( -6 , -5) and (2,0)

`=\sqrt[]{(2--6)^2+(0--5)^2}=\sqrt[]{8^2+5^2}=\sqrt[]{89}=9.434`

The distance between the points (-1, 4) and (1, -1)

`=\sqrt[]{(1--1)^2+(-1-4)^2}=\sqrt[]{2^2+5^2}=\sqrt[]{29}=5.385`

The distance between the points (0 , -8) and (3, 2)

`=\sqrt[]{(3-0)^2+(2--8)^2}=\sqrt[]{3^2+10^2}=\sqrt[]{109}=10.44`