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Which expression gives the distance between the points (-3,4 and (6,-2)

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Final answer:

To find the distance between the points (-3, 4) and (6, -2), we can use the distance formula. The distance is approximately 10.82 units.

Step-by-step explanation:

To find the distance between two points (-3, 4) and (6, -2), we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Here, (x1, y1) = (-3, 4) and (x2, y2) = (6, -2). Substituting these values into the formula, we get:

d = sqrt((6 - (-3))^2 + (-2 - 4)^2)

Simplifying, we have:

d = sqrt((6 + 3)^2 + (-2 - 4)^2)

d = sqrt(9^2 + (-6)^2)

d = sqrt(81 + 36)
d = sqrt(117)

Therefore, the distance between the points (-3, 4) and (6, -2) is approximately 10.82 units.

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