Respuesta :

[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) = (-3, -6)

(x2, y2) = (-3, 1)

Put the values,

d = √(-3 + 3)² + (-6 - 1)²

d = √ 0 + (-7)²

d = √49

d = [tex] \pm[/tex] 7

But distance is always positive. Hence, the distance between the pair of points. (-3, -6) and (-3, 1) is 7 units.