Question

Given A(1,-3) and B(7,5),find ab

Answer 1

Answer:

AB =

$\sqrt{ {(1 - 7)}^{2} + {( - 3 - 5)}^{2} } = \\ \sqrt{36 + 64} = \sqrt{100} = 10$

Answer 2

Distance AB

$= \sqrt{ {(x2 - x1)}^{2} + {y2 - y1}^{2} } \\ = \sqrt{ {7 - 1}^{2} + {(5 - ( - 3))}^{2} } \\ = \sqrt{ {6}^{2} + {8}^{2} } \\ = \sqrt{36 + 64} \\ = \sqrt{100} \\ = 10$

Thus, AB = 10 units