is often used in Function graphics to find distance, and then through distance to find point coordinates word problems.

We know that the coordinates of two points A and B are A(x1,y1) and B(x2,y2) respectively

distance AB square between two points is

AB²=(x1-x2)²+(y1-y2)²

Calculate the square root receive distance AB.

The coordinates of A and B are A(1,2) and B(4,6) respectively.

AB²=(1-4)²+(2-6)²=25

AB=√25=5

can also be directly Calculator:

AB=√[(1-4)²+(2-6)²]=√25=5