Given points A (-1; 4) and B (5, -4) what is the distance between these points?

We know from the condition that two points are given by their coordinates A (-1; 4) and B (5; -4).

In order to find the distance between the points, we will apply the formula:

| AB | = √ ((xb – xa) ^ 2 + (yb – ya) ^ 2).

To calculate the distance between the points, we must extract the square root of the sum of the squares of the difference in the coordinates of the points, respectively.

So, dreams only need to substitute values in the formula and make calculations:

| AB | = √ ((5 – (-1)) ^ 2 + (-4 – 4) ^ 2) = √ (6 ^ 2 + (-8) ^ 2) = √ (36 + 64) = √100 = 10.

Answer: 10.