Question

The endpoints of line segment PS are P(-3,6) and S(3,24). Find the coordinates of the points that divide line segment PS into the given number of congruent segments.

Answer 1

EXAMPLE

Find the distance between the points A(−4, −3) and B(5, 7).

SOLUTION

In this case, x1 = −4, x2 = 5, y1 = −3 and y2 = 7.

AB2 = (x2 − x1)2 + (y2 − y1)2

= (5 − (−4))2 + (7 − (−3))2

= 92 + 102

= 181

Thus, AB =

Note that we could have chosen x1 = 5, x2 = −4, y1 = 7 and y2 = −3 and still obtained the same result. As long as (x1, y1) refers to one point and (x2, y2) the other point, it does not matter which one is which.

I hope this will help you
if not then comment me