Question

Calculate the distance between the points L=(-4,-1) and E =(3, 7) in the coordinate plane.

Give an exact answer (not a decimal approximation).

Answer 1

10.6301458127

Explanation:

Distance between any two points (x1, y1) and (x2,y2) on a coordinate plane is expressed by the formula =
`√((x1-x2)^2 + (y1 - y2)^2) \\`

given L=(-4,-1) and E =(3, 7

substituting value of coordinates in equation
`√((x1-x2)^2 + (y1 - y2)^2) \\`

we have

`√((-4 - 3)^2 + (-1 - 7)^2) \\=>√((-7)^2 + (-8)^2) \\=>√(49 + 64) \\=>√(113) \\=>10.6301458127`

Therefore the distance between the points L=(-4,-1) and E =(3, 7) = 10.6301458127