What is the exact distance from (−4, −2) to (4, 6)? (4 points)

square root of 24. units

square root of 88. units

square root of 100. units

square root of 128. units

1 answer

The exact distance between points (-4, -2) and (4, 6) can be found using the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Substituting the given coordinates:

d = √((4 - (-4))^2 + (6 - (-2))^2)

Simplifying:

d = √((4 + 4)^2 + (6 + 2)^2)

d = √(8^2 + 8^2)

d = √(64 + 64)

d = √128

Therefore, the exact distance from (-4, -2) to (4, 6) is √128 units.
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