What is the coordinate 29 of the way from A to B if the coordinates are A(5,7) and B(14,16). Use the y-coordinate for your answer.

Question

What is the coordinate 29 of the way from A to B if the coordinates are A(5,7) and B(14,16). Use the 

y-coordinate for your answer.

Answer 1

The horizontal distance from A to B is 14 - 5 = 9. 2/9 of 9 is 2. Horizontally moving from A towards B 2 units means the x-coordinate of the target point is 5+2 = 7.

Moving in a vertical direction from A to B is a distance of 16 - 7 = 9, and once again 2/9 of 9 = 2.

Moving from A to B vertically a distance of 2 units results in 7 + 2 = 9.

So the point on the segment AB that is 2/9 of the total distance from A to B is (7, 9). Using the technique is based on similar triangles.

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