Given:
The points are M(6,16) and Z(-1,14).
To find:
The distance between given points.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
So, the distance between two points M(6,16) and Z(-1,14) is
[tex]d=\sqrt{(-1-6)^2+(14-16)^2}[/tex]
[tex]d=\sqrt{(-7)^2+(-2)^2}[/tex]
[tex]d=\sqrt{49+4}[/tex]
[tex]d=\sqrt{53}[/tex]
[tex]d=7.28011[/tex]
[tex]d\approx 7.3[/tex]
Therefore, the distance between given points is 7.3 units.