Question

If point A is located at (-7, 5) on a coordinate plane, and point B is located at (4, 5), what is the distance between the two points?

Answer 1

`x_( 1) = - 7 , x_( 2) = 4 \\ y_( 1) = 5 , y_( 2) = 5`

Using the distance formula

`\sqrt{(x_(2 ) - x_( 1) {)}^(2) + (y_( 2) -y_( 1) {)}^(2) }`

Substitute with the given values

`\sqrt{(4 - ( - 7 {)}^(2) + (5 - 5 {)}^(2) }`

`\sqrt{(11 {)}^(2) + (0 {)}^(2) }`

`√(121 + 0) = √(121)`

`√(121) = 11`

Therefore:

Distance
`= 11`