# How do you find the distance between point A(-3, 5) and point B(4, -6) in the coordinate plane?

How do you find the distance between point A(-3, 5) and point B(4, -6) in the coordinate plane?
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Haylie Campbell
Having the points A(−3,5) and B(4,−6) on the same plane.
We calculate the distance d with the formula:
$d=\sqrt{{\left({x}_{2}-{x}_{1}\right)}^{2}+{\left({y}_{2}-{y}_{1}\right)}^{2}}$
So in this case we have:
$d=\sqrt{{\left(4-\left(-3\right)\right)}^{2}+{\left(-6-5\right)}^{2}}=\sqrt{49+121}=\sqrt{170}\approx 13.03$
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sexiboi150nc
Use formula for distance:
${d}^{2}={\left(4+3\right)}^{2}+{\left(-6-5\right)}^{2}=49+121=170$
And more detail is d = 13.04