Find the distance between points A and B if A (3; -7) B (6; -3).

Find the distance between points A and B if A (3; – 7), B (6; – 3).

d (AB) = √ ((x2 – x1) ^ 2 + (y2 – y1) ^ 2);

In order to find the distance between the points, you need to substitute the coordinates of the points into the expression itself and calculate its value. That is, we get:

d (AB) = √ ((x2 – x1) ^ 2 + (y2 – y1) ^ 2) = √ ((6 – 3) ^ 2 + (- 3 – (- 7)) ^ 2);

First, in turn, we find the value of the expression in parentheses, then we calculate the multiplication or division, then the addition or subtraction actions are performed. That is, we get:

√ ((6 – 3) ^ 2 + (- 3 – (- 7)) ^ 2) = √ (3 ^ 2 + (- 3 + 7) ^ 2) = √ (9 + 16) = √25 = 5 …