Find the distance between the points (8, 6) and (5, 2).
5
4
3
2
The distance between the points (8, 6) and (5, 2) can be found using the distance formula.
The distance formula states that the distance between two points (x1, y1) and (x2, y2) is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates are (x1, y1) = (8, 6) and (x2, y2) = (5, 2). Plugging these values into the formula:
d = √((5 - 8)^2 + (2 - 6)^2)
= √((-3)^2 + (-4)^2)
= √(9 + 16)
= √25
= 5
Therefore, the distance between the points (8, 6) and (5, 2) is 5 units.
To find the distance between two points, you can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Given the points (8, 6) and (5, 2), let's calculate the distance step-by-step:
1. Find the difference in x-coordinates: x2 - x1 = 5 - 8 = -3
2. Find the difference in y-coordinates: y2 - y1 = 2 - 6 = -4
3. Square both differences: (-3)^2 = 9, (-4)^2 = 16
4. Add the squared differences: 9 + 16 = 25
5. Take the square root of the sum: √25 = 5
Therefore, the distance between the points (8, 6) and (5, 2) is 5 units.