Question

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

Answer 1

Step-by-step explanation:

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

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

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

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

$AB = \sqrt{144 + 4}$

$AB = \sqrt{148}$

$AB = 2 \sqrt{37}$

$AB = 12.1$

Answer 2

Distance between two points formula: $\sqrt{(x2-x1)^2+(y2-y1)^2}$

$= \sqrt{(-3-(-1))^2+(-5-7)^2}\\= \sqrt{(-2)^2+(-12)^2}\\= \sqrt{4 + 144} \\= \sqrt{148} \\= 12.1655...$

Round if necessary.

12.1655 ≈ 12.12

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

Best of Luck!