Question

What is the distance between the points A(-1,7) and B(-3,-5)

Answer 1

Explanation:

The distance between the points A(-1,7) and B(-3,-5)

`AB = \sqrt{ {(x2 - x1)}^(2) + {(y2 - y1)}^(2) }`

`AB = \sqrt{ {( - 5 - 7)}^(2) + { ( - 3 + 1)}^(2) }`

`AB = \sqrt{ { (- 12)}^(2) + {( - 2)}^(2) }`

`AB = √(144 + 4)`

`AB = √(148)`

`AB = 2 √(37)`

`AB = 12.1`

Answer 2

Distance between two points formula:
`√((x2-x1)^2+(y2-y1)^2)`

`= √((-3-(-1))^2+(-5-7)^2)\\= √((-2)^2+(-12)^2)\\= √(4 + 144) \\= √(148) \\= 12.1655...`

Round if necessary.

12.1655 ≈ 12.12

Therefore, the distance between both points is 12.1655... or 12.12

Best of Luck!