Calculate the distance between the points with the given coordinates. 1.A (-6; 0) and B (0; 8) 2.M (8; 0) and N (0; -6)

Let’s use the formula for the distance between two points A and B on the coordinate plane with coordinates A (x1; y1) and B (x2; y2):

| AB | = √ ((x1 – x2) ² + (y1 – y2) ²).

1) Find the distance between points A (-6; 0) and B (0; 8):

| AB | = √ ((- 6 – 0) ² + (0 – 8) ²) = √ ((- 6) ² + (-8) ²) = √ (6² + 8²) = √ (36 + 64) = √100 = 10.

Therefore, the distance between points A (-6; 0) and B (0; 8) is 10.

2) Find the distance between points M (8; 0) and N (0; -6):

| MN | = √ ((8 – 0) ² + (0 – (-6)) ²) = √ ((8) ² + (-6) ²) = √ (8² + 6²) = √ (64 + 36) = √ 100 = 10.

Therefore, the distance between the points M (8; 0) and N (0; -6) is 10.