Question

multiple choice find the distance between the two point on a coordinate plane A (5 , 1) and B (-3 , -3)

Answer 1

AB = 4
`√(5)`

Explanation:

calculate the distance d using the distance formula

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

with (x₁, y₁ ) = A (5, 1 ) and (x₂, y₂ ) = B (- 3, - 3 )

AB =
`√((-3-5)^2+(-3-1)^2)`

=
`√((-8)^2+(-4)^2)`

=
`√(64+16)`

=
`√(80)`

=
`√(16(5))`

=
`√(16)` ×
`√(5)`

= 4
`√(5)`