Find the distance between points (-2,3) and (4,1). Round the answer to the nearest tenth. show work

Answer 1

The distance between two points in a plane can be found using the distance formula:

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

Let's calculate the distance using this formula.

Given points: (-2, 3) and (4, 1)

Determine the values of x1, y1, x2, and y2:

x1 = -2
y1 = 3
x2 = 4
y2 = 1

Substitute the values into the distance formula:

d = sqrt((4 - (-2))^2 + (1 - 3)^2)
d = sqrt((4 + 2)^2 + (-2)^2)
d = sqrt(6^2 + 4)
d = sqrt(36 + 4)
d = sqrt(40)

Calculate the square root:

d ≈ 6.3

Therefore, the distance between the points (-2,3) and (4,1) is approximately 6.3 units.