Question

Find the distance between (-8,-3) and (-2,-5) round your answer to the nearest hundredth if necessary.

Answer 1

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

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

Given the points (-8, -3) and (-2, -5), we have:

x1 = -8
y1 = -3
x2 = -2
y2 = -5

Plugging these values into the distance formula, we get:

distance = sqrt((-2 - (-8))^2 + (-5 - (-3))^2)
distance = sqrt((6)^2 + (-2)^2)
distance = sqrt(36 + 4)
distance = sqrt(40)

Rounded to the nearest hundredth, the distance is approximately 6.32.