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Answer :

Discipulusgo

Answer:

[tex] |d| = \sqrt{ {( - 6 - ( - 3))}^{2} + {( - 4 - ( - 4))}^{2} } \\ = \sqrt{ {( - 3)}^{2} + {0}^{2} } = \sqrt{9} \\ |d| = 3[/tex]

Alphonsineego

[tex]\large{\rm{\underline{\underline{Answer:}}}}[/tex]

For two given points, (x1,y1) and (x2, y2) the distance between the points can be calculated by,

Distance formula,

d=√((x2 - x1)²+(y2 - y1)²

Given points,

(x1, y1) = (-4, -3)

(x2, y2) = (-4, -6)

Put the values,

d = √(-4 + 4)² + (-6 + 3)²

d = √ 0 + (-3)²

d = √9

d = [tex] \pm[/tex] 3

But distance is always positive. Hence, the distance between the pair of points. (-4,-3) and (-4,-6) is 3 units.

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