Question

Find the distance between X(-2,4) and Y(6,1)

Answer 1

Exact Distance =
`\boldsymbol{√(73)}` units

Approximate Distance = 8.544 units

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Step-by-step explanation:

I'll relabel the points as A and B, and I'll be using the distance formula.

`A = (x_1,y_1) = (-2,4) \text{ and } B = (x_2, y_2) = (6,1)\\\\d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\\\\d = √((-2-6)^2 + (4-1)^2)\\\\d = √((-8)^2 + (3)^2)\\\\d = √(64 + 9)\\\\d = √(73)\\\\d \approx 8.544\\\\`

The exact distance is
`√(73)` units.

The approximate distance is roughly 8.544 units.

Round the approximate value however your teacher instructs.