Step-by-step explanation:
let the point A( - 1 , -3 ) and B( 5 , -2 )
here, x1 = -1; x2 = 5
y1 = -3; y2 = - 2
Now, the distance between A and B
[tex]AB = \sqrt{(x _{1} - {x}_{2} ) {}^{2} + (y _{1} - y _{2}) {}^{2} } [/tex]
[tex]AB = \sqrt{( - 1 - 5) {}^{2} + ( - 3 ( - 2) {}^{2} }[/tex]
[tex]AB = \sqrt{36 + 1} = \sqrt{37} [/tex]
Thus, The Distance between AB is
[tex] \sqrt{37} [/tex]
