Question

Find the distance between the points (6,-4) and (0,5)

Answer 1

The distance between the points (6,-4) and (0,5) = 10.82 units

Explanation:

Points to remember

Distance formula

Length of a line segment with end points (x1, y1) and (x2, y2) is given by,

Distance = √[(x2 - x1)² + (y2 - y1)²]

To find the distance between given points

Here, (x1, y1) = (6, -4) and (x2, y2) = (0, 5)

Distance = √[(x2 - x1)² + (y2 - y1)²]

= √[(0 - 6)² + (5 - -4)²]

=√[(-6)² + (9)²]

= √[36 + 81]

= √[117

= 10.82

The distance between the points (6,-4) and (0,5) = 10.82 units

Answer 2

d = 10.8167

Explanation:

The distance between two points can be easily found by using the following expression

d = √((x1-x2)^2 + (y1-y2)^2)

where

(x1,y1) = (6,-4)

(x2,y2) = (0,5)

d = √((6-0)^2 + (-4-5)^2)

d = √(36 + 81)

d = √(117)

d = 10.8167