What is the approximate distance between the points (-5, 1) and (-2, 3) on a coordinate grid?A.7.81 unitsB.3.61 unitsC.3.32 unitsD.2.23 units

To find the distance between two points on a coordinate grid, we use the distance formula which is derived from the Pythagorean theorem. The distance formula is:

d = sqrt[(x2 - x1)² + (y2 - y1)²]

Here, the two points are (-5, 1) and (-2, 3). So, x1 = -5, y1 = 1, x2 = -2, y2 = 3.

Substitute these values into the formula:

d = sqrt[(-2 - (-5))² + (3 - 1)²] d = sqrt[(3)² + (2)²] d = sqrt[9 + 4] d = sqrt[13]

So, the approximate distance between the points (-5, 1) and (-2, 3) is sqrt[13] which is approximately 3.61 units.

Therefore, the correct answer is B. 3.61 units.