what is the distance between the two points (-5, 4 ) (4, -2)

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

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

Given points (-5, 4) and (4, -2), the x and y coordinates would be:

x1 = -5
y1 = 4
x2 = 4
y2 = -2

Plugging these values into the distance formula:

Distance = √((4 - (-5))^2 + (-2 - 4)^2)
Distance = √((4 + 5)^2 + (-2 - 4)^2)
Distance = √((9)^2 + (-6)^2)
Distance = √(81 + 36)
Distance = √117
Distance ≈ 10.82

Therefore, the distance between the two points is approximately 10.82 units.