What is the distance between $(1, - 3)$ $(1, -3)$ and $(- 4, 3)$ $(-4, 3)$ ?

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Answer 1 · 2015-12-19T22:21:44

$\sqrt{61}$ $sqrt(61)$

Find the distance between the two $x$ $x$ points

$| - 4 - 1 | = 5$ $abs(-4-1) = 5$

Next find the distance between the two $y$ $y$ points

$| 3 - (- 3) | = 6$ $abs(3-(-3)) = 6$

Use the pythagorean theorem

$a^{2} + b^{2} = c^{2}$ $a^2+b^2=c^2$

where $a = 5$ $a=5$ and $b = 6$ $b=6$

Solve for c

$c = \sqrt{25 + 36}$ $c=sqrt(25+36)$

Finally

$c = \sqrt{61}$ $c=sqrt(61)$

What is the distance between (1, -3) (1,−3)(1, -3) and (-4, 3) (−4,3)(-4, 3) ?