Answer:
The distance between the given points (2,10) and (-6, 4) on the coordinate plane is 10units
Therefore distance s=10 units
Step-by-step explanation:
Given points are (2,10) and (-6, 4) on the coordinate plane
To distance between the given points :
The distance formula is [tex]s=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] units
Let [tex](x_1,y_1)[/tex] ,[tex](x_2,y_2)[/tex] be the given points (2,10) and (-6, 4) respectively
Now substituting the values in the distance formula we get
[tex]s=\sqrt{(-6-2)^2+(4-10)^2}[/tex]
[tex]=\sqrt{(-8)^2+(-6)^2}[/tex]
[tex]=\sqrt{8^2+6^2}[/tex]
[tex]=\sqrt{64+36}[/tex]
[tex]=\sqrt{100}[/tex]
[tex]=10[/tex]
Therefore s=10 units
The distance between the given points (2,10) and (-6, 4) on the coordinate plane is 10units