Find the length of the red line segment in the coordinate plane.
(4, 3)
(- 2, 1)
Which of the following statements are true:
(1 point)
The length is 40 units; find the sum of the x and y coordinates and square root the answer.
The length is 130; find the difference between the x and y coordinates and square it.
The length is sqrt(260) find the difference of the x coordinates and the difference of the y coordinates and subtract those differences.
The length is sqrt(40) units; find the sum of the vertical and horizontal distances squared and then take the square root.
To find the length of the line segment between the points (4, 3) and (-2, 1), we can use the distance formula:
Distance = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
In this case, x1 = 4, y1 = 3, x2 = -2, y2 = 1
Distance = sqrt[(-2 - 4)^2 + (1 - 3)^2]
Distance = sqrt[(-6)^2 + (-2)^2]
Distance = sqrt[36 + 4]
Distance = sqrt[40]
Distance = 2√10
Therefore, the correct statement is:
The length is sqrt(40) units; find the sum of the vertical and horizontal distances squared and then take the square root.