# Dividing an Interval in a Ratio (1 Viewer)

#### bujolover

##### Active Member
The point 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.

#### pikachu975

##### I love trials
Moderator
The point 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.