Question

find the distance between the two points A(-6,7)and B(-1,-5)

Answer 1

Distance bw two pts are
Under root (6-1)spuare+(7+5)spuare
5 into 5 + 12 into 12
25+144
Underoot 169
That is 13 units

Answer 2

$d = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } \\ = \sqrt{ {( - 6 + 1)}^{2} + {(7 + 5)}^{2} } \\ = \sqrt{ {( - 5)}^{2} + {(12)}^{2} } \\ = \sqrt{25 + 144} \\ = \sqrt{169} \\ = 13$