What is the distance between points J and K if J is at (−3, 2) and K is at (1, −6) .(1 point) Responses 45–√ 4 square root of 5 25–√ 2 square root of 5 43–√ 4 square root of 3 23–√
To find the distance between two points, we can use the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the given coordinates, we have:
Distance = sqrt((1 - (-3))^2 + (-6 - 2)^2)
= sqrt((1 + 3)^2 + (-8)^2)
= sqrt(4^2 + 64)
= sqrt(16 + 64)
= sqrt(80)
Simplifying, we can rewrite sqrt(80) as 4 * sqrt(5). Therefore, the distance between points J and K is:
4 * sqrt(5)