Question #5c7c6

1 Answer
James W.
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)#.

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