Point plot A (-3,7) and B(-1,3)

Question

Find the distance between the points and write answer in simplified radical form

Answer 1

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

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

For points A (-3,7) and B(-1,3), the coordinates are x1 = -3, y1 = 7, x2 = -1, and y2 = 3.

Plugging these values into the distance formula, we get:

Distance = sqrt((-1 - (-3))^2 + (3 - 7)^2)
= sqrt((2)^2 + (-4)^2)
= sqrt(4 + 16)
= sqrt(20)

Since 20 can be simplified, it can be written in simplified radical form as:

Distance = 2 * sqrt(5)