Find the distance between the two points in simplest radical form.

Question

(8,−1) and (2,−9)

Answer 1

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

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

Using the given points (8, -1) and (2, -9):

x1 = 8
y1 = -1
x2 = 2
y2 = -9

Plugging these values into the distance formula:

d = sqrt((2 - 8)^2 + (-9 - (-1))^2)
= sqrt((-6)^2 + (-9 + 1)^2)
= sqrt(36 + (-8)^2)
= sqrt(36 + 64)
= sqrt(100)
= 10

Therefore, the distance between the two points in simplest radical form is 10.