Question

there is a coordinate plane with the connection points (-2, 1) and (4, 3)

Which of the following statements are true:
A. The length is 130; find the difference between the x and y coordinates and square it.
B. The length is square root of 260 ; find the difference of the x coordinates and the difference of the y coordinates and subtract those differences.
C. find the sum of the vertical and horizontal distances squared and then take the square root.
D. The length is 40 units; find the sum of the x and y coordinates and square root the answer.

Answer 1

[AI-generated answer — Bot GPT 3.5]

B. The length is square root of 260; find the difference of the x coordinates and the difference of the y coordinates and subtract those differences.

To find the length of the line segment between the two points, we use the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the coordinates (-2, 1) and (4, 3):

d = √((4 - (-2))^2 + (3 - 1)^2)
d = √(6^2 + 2^2)
d = √(36 + 4)
d = √40
d = √(4 * 10)
d = 2√10

Therefore, the length of the line segment is the square root of 40.