Question

Find the distance between the points (-4, -5 and (3, -1.

Answer 1

≡ We know that:
⇔ $(x_{1},y_{1})$ → $(-4,-5)$
⇔ $(x_{2},y_{2})$ → $(3,-1)$

≡ Solution:
⇒ $\sqrt{[(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}]}$
⇒ $\sqrt{[(3-(-4))^{2}+(-1-(-5))^{2}]}$
⇒ $\sqrt{[7^{2}+4^{2}]}$
⇒ $\sqrt{[49+16]}$
⇒ $\boxed{\sqrt{65}}$

Answer 2

Answer: $\sqrt{65}$

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