Question

Find the distance between the two points (-4,6) and (3,-7)

Answer 1

By the distance formula,

`d = \sqrt{( x_2 - x_1) {}^(2) + (y_2 - y_1 {)}^(2) }`

Here,

`x_1 = -4`

`y_1 = 6`

`x_2 = -7`

`y_2 = 3`

Hence,

`d = \sqrt{( {(-7 )+(- 4))}^(2) + {( 3 + 6)}^(2) }`

`d = \sqrt{ {(-11)}^(2) + {9}^(2) }`

`d = √(121+ 81)`

`d = √(202)`

Answer 2

`( - 4.6) + (3. - 7) = 0.6`