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Question
Point E(−5, 3) and point D(−4, −3) are located on the grid. Which measurement is closest to the distance between point E and point D in units?
Responses
A 6.1 units6.1 units
B 5.3 units5.3 units
C 6.5 units6.5 units
D 6.7 units
To find the distance between two points on a grid, we can use the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates for point E(-5,3) and point D(-4,-3), we get:
Distance = sqrt((-4 - (-5))^2 + (-3 - 3)^2)
Distance = sqrt((1)^2 + (-6)^2)
Distance = sqrt(1 + 36)
Distance = sqrt(37)
Distance ≈ 6.1 units
Therefore, the closest measurement to the distance between point E and point D is 6.1 units. Answer choice A.