Question

Find the distance between each pair of points. Round youranswer to the nearest tenth, if necessary.

Answer 1

The points are the endpoints of the line in the image

And their coordinates are:

(-5, 2) and (5, -4)

Given two points (x1, y1) and (x2, y2) on the Cartesian plane (x-y plane), the distance,d, between the points is given by

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

We can set (x1,y1)=(-5,2) and (x2,y2)=(5,-4)

`d=\sqrt[]{(5-(-5))^2+(-4-2)^2}=\sqrt[]{(5+5)^2+(-6)^2}=\sqrt[]{10^2+36}=\sqrt[]{136}`

Therefore

d = 11.7

Hence the distance is 11.7