<u>Given</u>:
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.
<u>Distance between the point M and S:</u>
The distance between the points M and S can be determined using the formula,
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Substituting the points (-8,2) and (10,2) in the above formula, we get;
![d=\sqrt{(10+8)^2+(2-2)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%2810%2B8%29%5E2%2B%282-2%29%5E2%7D)
Simplifying, we have;
![d=\sqrt{(18)^2+(0)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%2818%29%5E2%2B%280%29%5E2%7D)
![d=\sqrt{324}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B324%7D)
Taking square root, we get;
![d=18](https://tex.z-dn.net/?f=d%3D18)
Thus, the distance between the points M and S is 18 units.