Question 1201988
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It is likely that, in the resource you are using, there is a formula like the one shown by the other tutor for solving this problem.<br>
If you like using formulas to solve problems, then go ahead and do it that way.<br>
But mathematics will be more enjoyable if you understand what you are doing to solve the problem, instead of plugging numbers into formulas.<br>
In this problem, the point Q divides line segment AC in the ratio 4:1.  That means Q is 4/5 of the way from A to C.<br>
So the x coordinate of Q will be 4/5 of the way from the x coordinate of A to the x coordinate of C; and similarly for the y coordinate of Q.<br>
The difference between the x coordinates of A and C is 4-2 = 2; 4/5 of 2 is 1.6; the x coordinate of Q is 1.6 more than the x coordinate of A: 2+1.6 = 3.6.<br>
The difference between the y coordinates of A and C is 2-(-1) = 3; 4/5 of 3 is 2.4; the y coordinate of Q is 2.4 more than the y coordinate of A: -1+2.4 = 1.4.<br>
ANSWER: Q(3.6,1.4)<br>