Question

determine the ratio in which the point P (a,-2) divides the joining of points (-4,3) and B(2,-4). also find the value of a

Answer 1

let p(a,-2) divide A(-4,3) and B(2,-4) in the ratio k:1,
therefore coordinates of p are,
$\frac{k(2)+(1)(-4)}{k+1}$ , $\frac{(k)4+1(3)}{k+1}$
=$\frac{2k-4}{k+1}$ , $\frac{-4k+3}{k+1}$
as coordinates of p are (a,-2)
therefore,
-2(k+1) = -4k+3
-2k-2 = -4k+3
-2k+4k = 3+2
2k = 5
hence,
k=5/2
and
a(k+1) = 2k-4
by subbing k value
a(5/2+1) = 2(5/2)-4
a(7/2)=5-4
therefore,

a=2/7

Answer 2

Answer:

Step-by-step explanation: