Question

Find the distance between the pair of points. (-4,-3) and (-4,-6)

Answer 1

`\large{\rm{\underline{\underline{Answer:}}}}`

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 =
`\pm` 3

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

Answer 2

`|d| = \sqrt{ {( - 6 - ( - 3))}^(2) + {( - 4 - ( - 4))}^(2) } \\ = \sqrt{ {( - 3)}^(2) + {0}^(2) } = √(9) \\ |d| = 3`