What are the coordinates of the point on the directed line segment from (1,-5) to(10, 1) that partitions the segment into a ratio of 1 to 5?
Using the section formula directly,
The required point is \(\left(\dfrac{5(1) + 1(10)}{5 + 1}, \dfrac{5(-5) + 1(1)}{5 + 1}\right) = \left(\dfrac{5}{2}, -4\right)\)
Thanks Max,
I can never remember the formula so here is my method
I look at the x's and y's separately
x's
10-1=9
9/6=1.5
1+1.5=2.5
y's
1--5=6
6/6=1
-5+1=-4
(2,5,-4)
