Question

Point P has coordinates (-4,-2)and point Q has coordinates (4,3). ( on a 1cm grid )

Calculate the shortest distance between P and Q.
Give your answer to 1 decimal place

Answer 1

the square root of 89 is 9.4 so thats your answer

Explanation:

Answer 2

PQ ≈ 9.4 cm

Explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = P(- 4, - 2) and (x₂, y₂ ) = Q(4, 3)

PQ =
`√((4+4)^2+(3+2)^2)`

=
`√(8^2+5^2)`

=
`√(64+25)`

=
`√(89)`

≈ 9.4 cm ( to 1 dec. place )