Find the distance between the points (-4, 6) and (-1, 5)Group of answer choices1014610146
Question
Find the distance between the points (-4, 6) and (-1, 5)
Group of answer choices
1014
6146
Solution
To find the distance between two points in a plane, we can 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 (-4, 6) and (-1, 5). So, x1 = -4, y1 = 6, x2 = -1, and y2 = 5.
Substitute these values into the formula:
d = sqrt[(-1 - (-4))² + (5 - 6)²] d = sqrt[(3)² + (-1)²] d = sqrt[9 + 1] d = sqrt[10]
So, the distance between the points (-4, 6) and (-1, 5) is sqrt[10] or approximately 3.16 units.
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