Find the length of the red line segment in the coordinate plane.
(-2,1), (4,3)
Which of the following statements are true:
(1 point)
Responses
A. The length is √260; find the difference of the x coordinates and the difference of the y coordinates and subtract those differences.
B. The length is √40 units; find the sum of the vertical and horizontal distances squared and then take the square root.
C. The length is 130; find the difference between the x and y coordinates and square it.
D. The length is 40 units; find the sum of the x and y coordinates and square root the answer.
To find the length of the line segment between points (-2,1) and (4,3), we can use the distance formula:
√((x2 - x1)^2 + (y2 - y1)^2)
Using the given points (-2,1) and (4,3):
√((4 - (-2))^2 + (3 - 1)^2)
√((6)^2 + (2)^2)
√(36 + 4)
√40
So the correct statement is:
B. The length is √40 units; find the sum of the vertical and horizontal distances squared and then take the square root.