Find the coordinates of the point 1/3 of the way from A to B. Segment A B plotted on a coordinate plane. Point A has coordinates negative 3 comma negative 2. Point B has coordinates 12 comma 4.

Answer 1

A(-3.-2) B(12,4)

To find x-coordinate compute 1/3 of difference between x-coordinates of A and B = (12--3)/3 = 5 and add it to x-coordinate of A: 5 + -3 = 2.

To find y-coordinate compute 1/3 of difference between y-coordinates of A and B = (4--2)/3 = 2 and add it to y-coordinate of A: 2 + -2 = 0.

(2,0)