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
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We can set (x1,y1)=(-5,2) and (x2,y2)=(5,-4)
[tex]d=\sqrt[]{(5-(-5))^2+(-4-2)^2}=\sqrt[]{(5+5)^2+(-6)^2}=\sqrt[]{10^2+36}=\sqrt[]{136}[/tex]
Therefore
d = 11.7
Hence the distance is 11.7
