Question #5c7c6

1 Answer
Dec 14, 2017

(7,3)

Explanation:

The line segment is 14 units long, and we need to split this into two segments with lengths in the ratio 3:4.

Hence, we know that the first line segment is going to be 3/7 the length of the original line, and the second will be 4/7 of that original length. Applying this ratio to the line of length 14, we know that the first segment will be 6 units long, and the second 8 units long.

The line is parallel to the x axis so we do not need to account for changes in y. Since the leftmost point on the line is (1,3), it follows trivially that the dividing point will be (1+6,3), or (7, 3).