Question

Point A is located at (3, 6) and point B is located at (10,−2) .

Answer 1

Answer:

(4.75, 4)

Step-by-step explanation:

We are to find the coordinates of the point that partitions the directed line segment AB in 1:3 ration.

For this, we will use the following formula:

$x = x_1 + k(x_2 - x_1)$ , $y = y_1 + k(y_2-y_1)$

where $k$ is the ratio of the first segment to the whole line segment so in this case, it will $\frac{1}{4}$.

So substituting the given values in the above formula to find the coordinates:

$x = 3 + \frac {1}{4} (10-3) = 4.75$

$y = 6 + \frac{1}{4} (-2-6) = 4$

Therefore, the coordinates of the point that partitions the directed line segment AB in a 1:3 ratio are (4.75, 4).