Question

Find the distance between each pair of points. (7 , 3) and (-1 , 4) Show your work.​

Answer 1

To find the distance between two points (x1, y1) and (x2, y2), you can use the distance formula:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Distance = √((-1 - 7)^2 + (4 - 3)^2)

Distance = √((-8)^2 + (1)^2)

Distance = √(64 + 1)

Distance = √65

So, the distance between the points (7, 3) and (-1, 4) is √65 units.

Answer 2

d ≈ 8.1 units

Explanation:

calculate the distance d using the distance formula

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

let (x₁, y₁ ) = (7, 3 ) and (x₂, y₂ ) = (- 1, 4 )

substitute these values into the formula for d

d =
`√((-1-7)^2+(4-3)^2)`

=
`√((-8)^2+1^2)`

=
`√(64+1)`

=
`√(65)`

≈ 8.1 units ( to the nearest tenth )