Given:
The two points are (0, -2) and (9, 10).
To find:
The distance between the given points.
Solution:
Distance between the two points is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the above distance formula, the distance between given points is
[tex]d=\sqrt{(9-0)^2+(10-(-2))^2}[/tex]
[tex]d=\sqrt{(9)^2+(10+2)^2}[/tex]
[tex]d=\sqrt{81+(12)^2}[/tex]
On further simplification, we get
[tex]d=\sqrt{81+144}[/tex]
[tex]d=\sqrt{225}[/tex]
[tex]d=15[/tex]
Therefore, the distance between the given points (0,-2) and (9,10) is 15 units.
