Question

What is the approximate distance between two points with coordinates (3, 5) and (-4, -8)?

Answer 1

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Let Points A ( 3 , 5 ) & B ( -4 , - 8 )


Here
x1 = 3
x2 = - 4
y1 = 5
y2 = - 8


By the distance formula


$ab = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \\ = \sqrt{ {( - 4 - 3)}^{2} + {( - 8 - 5)}^{2} } \\ \\ = \sqrt{ { - 7}^{2} + { - 13}^{2} } \\ \\ = \sqrt{49 + 169} \\ \\ = \sqrt{218}$

so the distance is √218 units.


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Answer 2

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Let the coordinates is O = (3 , 5) and P = (-4 , -8)
Now here is
x1 = 3 ,
y1 = 5

x2 = -4 ,
y2 = -8

AS WE KNOW THE FORMULA:-

Distance between two points O and P
$= \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } \\ = \sqrt{( - 4 - 3) {}^{2} + ( - 8 - 5) {}^{2} } \\ = \sqrt{( - 7) {}^{2} + ( - 13) {}^{2} } \\ = \sqrt{49 + 169} \\ = \sqrt{218} \\ = 14.76$

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