Question 1122496
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Find the x and y coordinates of Y separately, using the coordinates of B and O and the given ratio.<br>
The difference between the x coordinates of B and O is 57/8-4 = 57/8-32/8 = 25/8. Since the given ratio is 5:8, the difference between the x coordinates of O and Y is (8/5)*(25/8) = 5; so the x coordinate of Y is 57/8+5 = 57/8+40/8 = 97/8.<br>
The difference between the y coordinates of B and O is -3-2 = -5. Since the given ratio is 5:8, the difference between the y coordinates of O and Y is (8/5)*(-5) = -8; so the y coordinate of Y is -3-8 = -11.<br>
ANSWER: Y is (x,y) = (97/8,-11)<br>