Find the length of the red line segment in the coordinate plane. Which of the following statements are true: the line goes through the points (-2, 1), (4, 3)(1 point) Responses
The length is 40−−√ units; find the sum of the vertical and horizontal distances squared and then take the square root.
The length is 40 units; find the sum of the x and y coordinates and square root the answer.
The length is 260−−−√ ; find the difference of the x coordinates and the difference of the y coordinates and subtract those differences.
The length is 130; find the difference between the x and y coordinates and square it.
To find the length of the red line segment in the coordinate plane connecting points (-2, 1) and (4, 3), we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates:
Distance = √((4 - (-2))^2 + (3 - 1)^2)
Distance = √(6^2 + 2^2)
Distance = √(36 + 4)
Distance = √40
Distance = 2√10
Therefore, the length of the red line segment is 2√10 units. None of the given statements are true.