Question

Find the distance between two points: (1,4) and (11,9). Find the midpoint of the line segment with endpoints (-2,-1) and (-8,6)."

Answer 1

Distance:

`\sqrt{ {(11 - 1)}^(2) + {(9 - 4)}^(2) } = \sqrt{ {10}^(2) + {5}^(2) } = √(100 + 25) = √(125) = 5 √(5)`

Midpoint:

`x = ( - 2 + ( - 8))/(2) = - (10)/(2) = - 5`

`y = ( - 1 + 6)/(2) = (5)/(2) = 2.5`

The midpoint is (-5, 2.5).