Question

Find the distance between point A and point B. Round your answer to the nearest tenth (one place after the decimal). *

Answer 1

The distance of two points = 6 √2 = 8.4852

Explanation:

Explanation:-

From the graph

Given points are A ( 4,2) and B ( -2 , -4)

The distance formula

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

( x₁ , y₁ ) = ( 4,2 ) and (x₂ , y₂) = ( -2 , -4)

The distance formula

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

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

=
`√(36+36) = √(72) = 6√(2)`

Final answer:-

The distance of two points = 6 √2 = 8.4852