Question

Which of the following (-1,8) and (5,-2) are the distance of the line segment

Answer 1

The formula of a distance between two points:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

We have the points (-1, 8) and (5, -2). Substitute:

`d=√((5-(-1))^2+(-2-8)^2)=√(6^2+(-10)^2)=√(36+100)=√(136)\\\\=√(4\cdot34)=\sqrt4\cdot√(34)=\boxed{2√(34)}`