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Calculate the distance between the points K=(-1, 2) and E=(2, -1) in the coordinate plane

User Nbon
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Final answer:

The distance between points K=(-1, 2) and E=(2, -1) is calculated using the distance formula and is found to be 3√2 units or approximately 4.24 units.

Step-by-step explanation:

To calculate the distance between the points K=(-1, 2) and E=(2, -1) in the coordinate plane, we can use the distance formula derived from the Pythagorean theorem:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

For our points K and E, this becomes:

Distance = √((2 - (-1))^2 + (-1 - 2)^2)

Distance = √((2 + 1)^2 + (-3)^2)

Distance = √(3^2 + (-3)^2)

Distance = √(9 + 9)

Distance = √(18)

Distance = 3√2 (approximately 4.24 when rounded to two decimal places)

Therefore, the distance between points K and E is 3√2 units, or roughly 4.24 units when expressed as a decimal.

User Neal Sanche
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