Answer:
The length of AB is [tex]\sqrt{74}\ units[/tex]
Step-by-step explanation:
we know that
The formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
[tex]A(2,-6)\\B(7,1)[/tex]
substitute
[tex]d=\sqrt{(1+6)^{2}+(7-2)^{2}}[/tex]
[tex]d=\sqrt{(7)^{2}+(5)^{2}}[/tex]
[tex]d=\sqrt{49+25}[/tex]
[tex]AB=\sqrt{74}\ units[/tex]
