What is the distance between the points? Leave your answer in exact form (- 4, 3) 5 5 (6, - 1) (1 point ) sqrt(84); sqrt(116); sqrt(108); sqrt(m)

Answer 1

To find the distance between two points, we can use the distance formula:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Let's calculate the distance between the points (-4, 3) and (6, -1):

x1 = -4, y1 = 3
x2 = 6, y2 = -1

Distance = sqrt((6 - (-4))^2 + (-1 - 3)^2)
Distance = sqrt((6 + 4)^2 + (-4)^2)
Distance = sqrt(10^2 + (-4)^2)
Distance = sqrt(100 + 16)
Distance = sqrt(116)

Therefore, the distance between the points (-4, 3) and (6, -1) is sqrt(116).