Question

Point P has coordinates (-4, -2) and point Q has coordinates (4, 3).
Calculate the shortest distance between P and Q.
Give your answer to 1 decimal place.

Answer 1

Answer:

≈ 9.4

Step-by-step explanation:

Calculate the distance d using the distance formula

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

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

PQ = $\sqrt{(4-(-4))^2+(3-(-2))^2}$

     = $\sqrt{(4+4)^2+(3+2)^2}$

     = $\sqrt{8^2+5^2}$

     = $\sqrt{64+25}$

     = $\sqrt{89}$

     ≈ 9.4 ( to 1 dec. place )