Question

For the points (6, 5) and (-4, 3),

(a) Find the exact distance between the points.
(b) Find the midpoint of the line segment whose endpoints are the given points.

Answer 1

(a) 2√26

(b) (-1, 4)

Explanation:

For (a):

`\sqrt{ {( 6 - ( - 4))}^(2) + {(5 - 3)}^(2) }`

`\sqrt{ {10}^(2) + {2}^(2) }`

`√(100 + 4) = √(104) = √(4 * 26) = 2 √(26)`

For (b):

`(6 + ( - 4))/(2) = - (2)/(2) = - 1`

`(5 + 3)/(2) = (8)/(2) = 4`

Midpoint is at (-1, 4)