Given:
On a coordinate grid, point M is at (-8,2) and point S is at (10,2).
We need to determine the distance between the points M and S.
Distance between the point M and S:
The distance between the points M and S can be determined using the formula,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substituting the points (-8,2) and (10,2) in the above formula, we get;
[tex]d=\sqrt{(10+8)^2+(2-2)^2}[/tex]
Simplifying, we have;
[tex]d=\sqrt{(18)^2+(0)^2}[/tex]
[tex]d=\sqrt{324}[/tex]
Taking square root, we get;
[tex]d=18[/tex]
Thus, the distance between the points M and S is 18 units.