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
Question
What is the approximate distance between the points (-5, 1) and (-2, 3) on a coordinate grid?
A. 7.81 units
B. 3.61 units
C. 3.32 units
D. 2.23 units
Solution
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.
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