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
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.