Question 1199743
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The description of the problem is actually incomplete; Q could be closer to either A or B.  For my response, I will assume it is closer to B.<br>
Determine the x and y coordinates of Q separately.  The ratio 4:1 means the differences between both the x and y coordinates will be divided into parts of length 4a and a.<br>
The difference in the x coordinates of A and B is +2:
4a+a = 2
5a = 2
a = 2/5<br>
The x coordinate of Q is 2+4a = 2+4(2/5) = 2+8/5 = 18/5 or 3.6.<br>
The difference in the y coordinates of A and B is +3:
4a+a = 3
5a = 3
a = 3/5<br>
The y coordinate of Q is -1+4a = -1+12/5 = 7/5 or 1.4<br>
ANSWER: Q(3.6,1.4)<br>