Question 1197212
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Since the shorter segment is 3/4 as long as the longer, let the lengths of the two segments by 3x and 4x.<br>
Then, working with the x- and y-coordinates separately, divide the difference between the coordinates of the two points into 7 equal parts.  Since the point of division is to be closer to (9,3), the difference between (9,3) and the coordinates of the point of division should be 3 of those 7 equal parts.<br>
The difference between the x-coordinates is 7; so that difference will be divided into parts of 3 and 4.  The difference in the y-coordinates is also 7, so that will also be divided into parts of 3 and 4.<br>
The x coordinate of the point of division will be a distance of 3 from 9 towards 2, making it 6; the y coordinate will be a distance of 3 from 3 towards -4, making it 0.<br>
ANSWER: (6,0)<br>
You can draw the figure....<br>