Question

Given the points $A(-3,7)$ and $B(5,-9)$, determine the coordinates of point P on directed line segment that partitions in the ratio $\frac{1}{4}$.

• A. $(2.4,3.8)$
• B. $(-2.4,2.8)$
• C. $(-1.4,3.8)$
• D. None of these

Answer 1

The correct option is C $(-1.4,3.8)$

$A(-3,7)$ and $B(5,-9)$ .$P$ divides $AB$ in $1:4$

So the coordinates of $P$ are

$(\frac{4(-3)+1\left(5\right)}{1+4},\frac{4\left(7\right)+1(-9)}{1+4})(\frac{-7}{5},\frac{19}{5})(-1.4,3.8)$