Question

(-2,1) (4,3) put the steps in order from 1 to 7 to find the distance between these two points.

Answer 1

1. Identify the coordinates of each point: Point 1 is (-2,1) and Point 2 is (4,3).
2. Subtract the x-coordinates of the two points to find the horizontal distance: 4 - (-2) = 6.
3. Square the horizontal distance: 6^2 = 36.
4. Subtract the y-coordinates of the two points to find the vertical distance: 3 - 1 = 2.
5. Square the vertical distance: 2^2 = 4.
6. Add the squared horizontal and vertical distances together: 36 + 4 = 40.
7. Take the square root of the sum to find the distance between the two points: sqrt(40) ≈ 6.32.

Therefore, the distance between the points (-2,1) and (4,3) is approximately 6.32 units.