*P*(-3,8) divides the interval

*AB*externally in the ratio

*k*:1. If

*A*is the point (6,-4) and

*B*is the point (0,4), find the value of

*k*.

In this question, I got 3, but the answer says -3. Wouldn't that be incorrect, as our teacher told us that if the question says a point externally divides in a negative ratio, then that effectively cancels out to be an internal division (in the same way that two negatives make a positive)? Clearly

*P*externally divides

*AB*, as the abscissa of

*P*lies outside the range of those between

*A*and

*B*.

Thanks in advance.