Given:
The two points are
[tex]\begin{gathered} (7,-1)and \\ (5,9) \end{gathered}[/tex]
Required:
To find the distance between the given two points.
Explanation:
The distance between the points (x1,y1) and (x2,y2) is
[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
Now
[tex]\begin{gathered} d=\sqrt{(5-7)^2+(9-(-1))^2} \\ \\ =\sqrt{(-2)^2+10^2} \\ \\ =\sqrt{4+100} \\ \\ =\sqrt{104} \\ \\ =2\sqrt{26} \end{gathered}[/tex]
Final Answer:
The distance between the points (7,-1) and (5,9) is
[tex]2\sqrt{26}[/tex]
