What is the distance between the points (2, 1) and (14, 6) on a coordinate plane?A.14 unitsB.13 unitsC.12 unitsD.5 units

To find the distance between two points on a coordinate plane, we use the distance formula which is derived from the Pythagorean theorem. The distance d between two points with coordinates (x1, y1) and (x2, y2) is given by:

d = sqrt[(x2 - x1)² + (y2 - y1)²]

Here, the coordinates of the two points are (2, 1) and (14, 6). So, x1 = 2, y1 = 1, x2 = 14, and y2 = 6.

Substituting these values into the distance formula gives:

d = sqrt[(14 - 2)² + (6 - 1)²] d = sqrt[(12)² + (5)²] d = sqrt[144 + 25] d = sqrt[169]

The square root of 169 is 13. So, the distance between the points (2, 1) and (14, 6) on a coordinate plane is 13 units.

So, the correct answer is B. 13 units.