Question

What are the coordinates or point C on directed line segment AC, with A(2,-1) and C(x,y), or which point B(4,2) partitions the segment ina ratio o 1:3?

Answer 1

Answer:

$C(x,y) = (\frac{10}{4},\frac{-1}{4})$

Step-by-step explanation:

Given

$A(x_1,y_1) = (2,-1)$

$B(x_2,y_2) = (4,2)$

Required

Partition = 1:3

Here, we'll make use of the following formula:

$C(x,y) = (\frac{nx_1 + mx_2}{m + n},\frac{ny_1 + my_2}{m + n})$

Where

$m:n = 1:3$

Substitute values for m,n,x1,x2,y1 and y2

$C(x,y) = (\frac{3 * 2 + 1 * 4}{1 + 3},\frac{3 * -1 + 1 * 2}{1 + 3})$

$C(x,y) = (\frac{10}{4},\frac{-1}{4})$