the coordinates of AB are A(6,-3) and B(18,3). what are the coordinates of the point that is 1/3 if the way from A to B

Question

the coordinates of AB are A(6,-3) and B(18,3). what are the coordinates of the point that is 1/3 if the way from A to B

Answer 1

For the x-coordinate what is the number 1/3 from 6 to 18?

For the y-coordinate what is the number 1/3 from -3 to 3?

Answer 2

If (a,b) and (c,d0 are the co-ordinates of the endpoints of a line segment and you wish to find the co-ordinates of a point p% of the way from a to b, the formula is

[(1-p)a+pc,(1-p)b+pd)]

You can plug in the values given in your problem.

Please note that the formula comes from the geometric theorem often called the side-splitter theorem.