What is the distance between points J and K if J is at (- 3, 2) and K is at (1, - 6)

1 answer

To find the distance between two points on the coordinate plane, we can use the distance formula.

The distance formula is √((x2 - x1)^2 + (y2 - y1)^2).

Substituting the coordinates of J and K, we have:

√((1 - (-3))^2 + (-6 - 2)^2)

Simplifying, we get:

√((1 + 3)^2 + (-6 - 2)^2)

√((4)^2 + (-8)^2)

√(16 + 64)

√80

Since 80 can be simplified further, we have:

√(16 * 5)

√16 * √5

4√5

Therefore, the distance between points J and K is 4√5 units.