To calculate the distance between two points, R and S, in a 2-dimensional space, you can use the distance formula derived from the Pythagorean theorem. The formula is:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
where:
- \( (x_1, y_1) \) are the coordinates of point R,
- \( (x_2, y_2) \) are the coordinates of point S,
- \( d \) is the distance between the two points.
For example, if R has coordinates (x1, y1) and S has coordinates (x2, y2), you would substitute those values into the formula to calculate the distance.
If you have points in a 3-dimensional space, the formula extends to:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2} \]
where \( z_1 \) and \( z_2 \) are the z-coordinates of points R and S, respectively.