Question

Line segment AB has endpoints A(1,4) and B(6,2). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 2:3

Answer 1

Answer:

$(3,3\frac{1}{5})$

Step-by-step explanation:

We use the formula;

$(\frac{mx_2+nx_1}{2},\frac{my_2+ny_1}{2})$

where m:n=2:3 and $x_1=1,x_2=6,y_1=4,y_2=2$

We substitute these values to get;

$(\frac{2(6)+3(1)}{2+3},\frac{2(2)+3(4)}{2+3})$

We simplify to get:

$(\frac{15}{5},\frac{16}{5})$

$(3,3\frac{1}{5})$

Answer 2

Answer:

(3,16/5)

Step-by-step explanation:

(2)(6)+(3)(1)/(2+3),(2)(2)+(3)(4)/(2+3)=3,16/5